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Finding the Fourth Proportional to 932.24, 1,286.23 and 578.47

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Solution

The fourth proportional to 932.24, 1,286.23 and 578.47 is: 798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.24 : 1,286.23 = 578.47 : x
  2. Step 2: Convert to fraction form
    932.24/1,286.23 = 578.47/x
  3. Step 3: Cross multiply
    932.24x = 1,286.23 × 578.47
  4. Step 4: Simplify right side
    932.24x = 744,042.58
  5. Step 5: Solve for x
    x = 744,042.58/932.24
  6. Step 6: Final answer
    x = 798.13

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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.