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Finding the Fourth Proportional to 731.50, 1,009.76 and 469.46

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Solution

The fourth proportional to 731.50, 1,009.76 and 469.46 is: 648.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.50 : 1,009.76 = 469.46 : x
  2. Step 2: Convert to fraction form
    731.50/1,009.76 = 469.46/x
  3. Step 3: Cross multiply
    731.50x = 1,009.76 × 469.46
  4. Step 4: Simplify right side
    731.50x = 474,041.93
  5. Step 5: Solve for x
    x = 474,041.93/731.50
  6. Step 6: Final answer
    x = 648.04

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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.