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Finding the Fourth Proportional to 1,124.76, 1,687.24 and 355.24

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Solution

The fourth proportional to 1,124.76, 1,687.24 and 355.24 is: 532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.76 : 1,687.24 = 355.24 : x
  2. Step 2: Convert to fraction form
    1,124.76/1,687.24 = 355.24/x
  3. Step 3: Cross multiply
    1,124.76x = 1,687.24 × 355.24
  4. Step 4: Simplify right side
    1,124.76x = 599,375.14
  5. Step 5: Solve for x
    x = 599,375.14/1,124.76
  6. Step 6: Final answer
    x = 532.89

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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.