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Finding the Fourth Proportional to 1,178.32, 1,626.05 and 654.32

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Solution

The fourth proportional to 1,178.32, 1,626.05 and 654.32 is: 902.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.32 : 1,626.05 = 654.32 : x
  2. Step 2: Convert to fraction form
    1,178.32/1,626.05 = 654.32/x
  3. Step 3: Cross multiply
    1,178.32x = 1,626.05 × 654.32
  4. Step 4: Simplify right side
    1,178.32x = 1,063,945.63
  5. Step 5: Solve for x
    x = 1,063,945.63/1,178.32
  6. Step 6: Final answer
    x = 902.94

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Half scale
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Double scale
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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.