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Finding the Fourth Proportional to 1,194.76, 1,648.80 and 670.78

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Solution

The fourth proportional to 1,194.76, 1,648.80 and 670.78 is: 925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.76 : 1,648.80 = 670.78 : x
  2. Step 2: Convert to fraction form
    1,194.76/1,648.80 = 670.78/x
  3. Step 3: Cross multiply
    1,194.76x = 1,648.80 × 670.78
  4. Step 4: Simplify right side
    1,194.76x = 1,105,982.06
  5. Step 5: Solve for x
    x = 1,105,982.06/1,194.76
  6. Step 6: Final answer
    x = 925.69

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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.