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Finding the Fourth Proportional to 1,124.97, 1,687.47 and 576.86

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Solution

The fourth proportional to 1,124.97, 1,687.47 and 576.86 is: 865.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.97 : 1,687.47 = 576.86 : x
  2. Step 2: Convert to fraction form
    1,124.97/1,687.47 = 576.86/x
  3. Step 3: Cross multiply
    1,124.97x = 1,687.47 × 576.86
  4. Step 4: Simplify right side
    1,124.97x = 973,423.34
  5. Step 5: Solve for x
    x = 973,423.34/1,124.97
  6. Step 6: Final answer
    x = 865.29

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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.