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Finding the Fourth Proportional to 1,125.57, 1,686.92 and 475.41

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Solution

The fourth proportional to 1,125.57, 1,686.92 and 475.41 is: 712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.57 : 1,686.92 = 475.41 : x
  2. Step 2: Convert to fraction form
    1,125.57/1,686.92 = 475.41/x
  3. Step 3: Cross multiply
    1,125.57x = 1,686.92 × 475.41
  4. Step 4: Simplify right side
    1,125.57x = 801,976.26
  5. Step 5: Solve for x
    x = 801,976.26/1,125.57
  6. Step 6: Final answer
    x = 712.51

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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.