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Finding the Fourth Proportional to 1,124.27, 1,686.68 and 344.29

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Solution

The fourth proportional to 1,124.27, 1,686.68 and 344.29 is: 516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.27 : 1,686.68 = 344.29 : x
  2. Step 2: Convert to fraction form
    1,124.27/1,686.68 = 344.29/x
  3. Step 3: Cross multiply
    1,124.27x = 1,686.68 × 344.29
  4. Step 4: Simplify right side
    1,124.27x = 580,703.70
  5. Step 5: Solve for x
    x = 580,703.70/1,124.27
  6. Step 6: Final answer
    x = 516.52

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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.