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Finding the Fourth Proportional to 731.12, 1,009.24 and 494.96

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Solution

The fourth proportional to 731.12, 1,009.24 and 494.96 is: 683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.12 : 1,009.24 = 494.96 : x
  2. Step 2: Convert to fraction form
    731.12/1,009.24 = 494.96/x
  3. Step 3: Cross multiply
    731.12x = 1,009.24 × 494.96
  4. Step 4: Simplify right side
    731.12x = 499,527.15
  5. Step 5: Solve for x
    x = 499,527.15/731.12
  6. Step 6: Final answer
    x = 683.23

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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.