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Finding the Fourth Proportional to 731.17, 1,009.70 and 469.64

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Solution

The fourth proportional to 731.17, 1,009.70 and 469.64 is: 648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.17 : 1,009.70 = 469.64 : x
  2. Step 2: Convert to fraction form
    731.17/1,009.70 = 469.64/x
  3. Step 3: Cross multiply
    731.17x = 1,009.70 × 469.64
  4. Step 4: Simplify right side
    731.17x = 474,193.16
  5. Step 5: Solve for x
    x = 474,193.16/731.17
  6. Step 6: Final answer
    x = 648.54

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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.