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Finding the Fourth Proportional to 731.46, 1,009.32 and 469.50

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Solution

The fourth proportional to 731.46, 1,009.32 and 469.50 is: 647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.46 : 1,009.32 = 469.50 : x
  2. Step 2: Convert to fraction form
    731.46/1,009.32 = 469.50/x
  3. Step 3: Cross multiply
    731.46x = 1,009.32 × 469.50
  4. Step 4: Simplify right side
    731.46x = 473,875.74
  5. Step 5: Solve for x
    x = 473,875.74/731.46
  6. Step 6: Final answer
    x = 647.85

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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.