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Finding the Fourth Proportional to 932.58, 1,398.87 and 522.14

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Solution

The fourth proportional to 932.58, 1,398.87 and 522.14 is: 783.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.58 : 1,398.87 = 522.14 : x
  2. Step 2: Convert to fraction form
    932.58/1,398.87 = 522.14/x
  3. Step 3: Cross multiply
    932.58x = 1,398.87 × 522.14
  4. Step 4: Simplify right side
    932.58x = 730,398.99
  5. Step 5: Solve for x
    x = 730,398.99/932.58
  6. Step 6: Final answer
    x = 783.20

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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.