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Finding the Fourth Proportional to 932.87, 1,402.25 and 522.81

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Solution

The fourth proportional to 932.87, 1,402.25 and 522.81 is: 785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.87 : 1,402.25 = 522.81 : x
  2. Step 2: Convert to fraction form
    932.87/1,402.25 = 522.81/x
  3. Step 3: Cross multiply
    932.87x = 1,402.25 × 522.81
  4. Step 4: Simplify right side
    932.87x = 733,107.71
  5. Step 5: Solve for x
    x = 733,107.71/932.87
  6. Step 6: Final answer
    x = 785.86

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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.