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Finding the Fourth Proportional to 932.63, 1,287.05 and 512.97

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Solution

The fourth proportional to 932.63, 1,287.05 and 512.97 is: 707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.63 : 1,287.05 = 512.97 : x
  2. Step 2: Convert to fraction form
    932.63/1,287.05 = 512.97/x
  3. Step 3: Cross multiply
    932.63x = 1,287.05 × 512.97
  4. Step 4: Simplify right side
    932.63x = 660,215.47
  5. Step 5: Solve for x
    x = 660,215.47/932.63
  6. Step 6: Final answer
    x = 707.91

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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.