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Finding the Fourth Proportional to 731.52, 1,009.76 and 479.48

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Solution

The fourth proportional to 731.52, 1,009.76 and 479.48 is: 661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.52 : 1,009.76 = 479.48 : x
  2. Step 2: Convert to fraction form
    731.52/1,009.76 = 479.48/x
  3. Step 3: Cross multiply
    731.52x = 1,009.76 × 479.48
  4. Step 4: Simplify right side
    731.52x = 484,159.72
  5. Step 5: Solve for x
    x = 484,159.72/731.52
  6. Step 6: Final answer
    x = 661.85

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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.