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Finding the Fourth Proportional to 932.22, 1,397.13 and 712.03

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Solution

The fourth proportional to 932.22, 1,397.13 and 712.03 is: 1,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.22 : 1,397.13 = 712.03 : x
  2. Step 2: Convert to fraction form
    932.22/1,397.13 = 712.03/x
  3. Step 3: Cross multiply
    932.22x = 1,397.13 × 712.03
  4. Step 4: Simplify right side
    932.22x = 994,798.47
  5. Step 5: Solve for x
    x = 994,798.47/932.22
  6. Step 6: Final answer
    x = 1,067.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.