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Finding the Fourth Proportional to 932.69, 1,398.41 and 522.02

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Solution

The fourth proportional to 932.69, 1,398.41 and 522.02 is: 782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.69 : 1,398.41 = 522.02 : x
  2. Step 2: Convert to fraction form
    932.69/1,398.41 = 522.02/x
  3. Step 3: Cross multiply
    932.69x = 1,398.41 × 522.02
  4. Step 4: Simplify right side
    932.69x = 729,999.84
  5. Step 5: Solve for x
    x = 729,999.84/932.69
  6. Step 6: Final answer
    x = 782.68

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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.