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Finding the Fourth Proportional to 749.44, 1,124.97 and 457.57

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Solution

The fourth proportional to 749.44, 1,124.97 and 457.57 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.44 : 1,124.97 = 457.57 : x
  2. Step 2: Convert to fraction form
    749.44/1,124.97 = 457.57/x
  3. Step 3: Cross multiply
    749.44x = 1,124.97 × 457.57
  4. Step 4: Simplify right side
    749.44x = 514,752.52
  5. Step 5: Solve for x
    x = 514,752.52/749.44
  6. Step 6: Final answer
    x = 686.85

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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.