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Finding the Fourth Proportional to 731.72, 1,009.50 and 469.46

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Solution

The fourth proportional to 731.72, 1,009.50 and 469.46 is: 647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.72 : 1,009.50 = 469.46 : x
  2. Step 2: Convert to fraction form
    731.72/1,009.50 = 469.46/x
  3. Step 3: Cross multiply
    731.72x = 1,009.50 × 469.46
  4. Step 4: Simplify right side
    731.72x = 473,919.87
  5. Step 5: Solve for x
    x = 473,919.87/731.72
  6. Step 6: Final answer
    x = 647.68

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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.