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Finding the Fourth Proportional to 932.54, 1,398.80 and 713.56

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Solution

The fourth proportional to 932.54, 1,398.80 and 713.56 is: 1,070.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.54 : 1,398.80 = 713.56 : x
  2. Step 2: Convert to fraction form
    932.54/1,398.80 = 713.56/x
  3. Step 3: Cross multiply
    932.54x = 1,398.80 × 713.56
  4. Step 4: Simplify right side
    932.54x = 998,127.73
  5. Step 5: Solve for x
    x = 998,127.73/932.54
  6. Step 6: Final answer
    x = 1,070.33

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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.