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Finding the Fourth Proportional to 731.14, 1,009.20 and 497.86

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Solution

The fourth proportional to 731.14, 1,009.20 and 497.86 is: 687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.14 : 1,009.20 = 497.86 : x
  2. Step 2: Convert to fraction form
    731.14/1,009.20 = 497.86/x
  3. Step 3: Cross multiply
    731.14x = 1,009.20 × 497.86
  4. Step 4: Simplify right side
    731.14x = 502,440.31
  5. Step 5: Solve for x
    x = 502,440.31/731.14
  6. Step 6: Final answer
    x = 687.20

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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.