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Finding the Fourth Proportional to 731.03, 1,008.43 and 465.32

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Solution

The fourth proportional to 731.03, 1,008.43 and 465.32 is: 641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.03 : 1,008.43 = 465.32 : x
  2. Step 2: Convert to fraction form
    731.03/1,008.43 = 465.32/x
  3. Step 3: Cross multiply
    731.03x = 1,008.43 × 465.32
  4. Step 4: Simplify right side
    731.03x = 469,243.79
  5. Step 5: Solve for x
    x = 469,243.79/731.03
  6. Step 6: Final answer
    x = 641.90

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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.