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Finding the Fourth Proportional to 932.08, 1,398.40 and 584.24

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Solution

The fourth proportional to 932.08, 1,398.40 and 584.24 is: 876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.08 : 1,398.40 = 584.24 : x
  2. Step 2: Convert to fraction form
    932.08/1,398.40 = 584.24/x
  3. Step 3: Cross multiply
    932.08x = 1,398.40 × 584.24
  4. Step 4: Simplify right side
    932.08x = 817,001.22
  5. Step 5: Solve for x
    x = 817,001.22/932.08
  6. Step 6: Final answer
    x = 876.54

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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.