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Finding the Fourth Proportional to 932.78, 1,398.10 and 522.10

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Solution

The fourth proportional to 932.78, 1,398.10 and 522.10 is: 782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.78 : 1,398.10 = 522.10 : x
  2. Step 2: Convert to fraction form
    932.78/1,398.10 = 522.10/x
  3. Step 3: Cross multiply
    932.78x = 1,398.10 × 522.10
  4. Step 4: Simplify right side
    932.78x = 729,948.01
  5. Step 5: Solve for x
    x = 729,948.01/932.78
  6. Step 6: Final answer
    x = 782.55

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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.