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Finding the Fourth Proportional to 1,799.76, 2,483.68 and 1,178.76

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Solution

The fourth proportional to 1,799.76, 2,483.68 and 1,178.76 is: 1,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.76 : 2,483.68 = 1,178.76 : x
  2. Step 2: Convert to fraction form
    1,799.76/2,483.68 = 1,178.76/x
  3. Step 3: Cross multiply
    1,799.76x = 2,483.68 × 1,178.76
  4. Step 4: Simplify right side
    1,799.76x = 2,927,662.64
  5. Step 5: Solve for x
    x = 2,927,662.64/1,799.76
  6. Step 6: Final answer
    x = 1,626.70

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.