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Finding the Fourth Proportional to 687.92, 1,032.28 and 444.52

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Solution

The fourth proportional to 687.92, 1,032.28 and 444.52 is: 667.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.92 : 1,032.28 = 444.52 : x
  2. Step 2: Convert to fraction form
    687.92/1,032.28 = 444.52/x
  3. Step 3: Cross multiply
    687.92x = 1,032.28 × 444.52
  4. Step 4: Simplify right side
    687.92x = 458,869.11
  5. Step 5: Solve for x
    x = 458,869.11/687.92
  6. Step 6: Final answer
    x = 667.04

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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.