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Finding the Fourth Proportional to 731.40, 1,009.24 and 420.92

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Solution

The fourth proportional to 731.40, 1,009.24 and 420.92 is: 580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.40 : 1,009.24 = 420.92 : x
  2. Step 2: Convert to fraction form
    731.40/1,009.24 = 420.92/x
  3. Step 3: Cross multiply
    731.40x = 1,009.24 × 420.92
  4. Step 4: Simplify right side
    731.40x = 424,809.30
  5. Step 5: Solve for x
    x = 424,809.30/731.40
  6. Step 6: Final answer
    x = 580.82

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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.