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Finding the Fourth Proportional to 1,124.75, 1,687.10 and 686.13

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Solution

The fourth proportional to 1,124.75, 1,687.10 and 686.13 is: 1,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.75 : 1,687.10 = 686.13 : x
  2. Step 2: Convert to fraction form
    1,124.75/1,687.10 = 686.13/x
  3. Step 3: Cross multiply
    1,124.75x = 1,687.10 × 686.13
  4. Step 4: Simplify right side
    1,124.75x = 1,157,566.49
  5. Step 5: Solve for x
    x = 1,157,566.49/1,124.75
  6. Step 6: Final answer
    x = 1,029.18

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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.