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Finding the Fourth Proportional to 1,112.47, 1,668 and 592.15

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Solution

The fourth proportional to 1,112.47, 1,668 and 592.15 is: 887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.47 : 1,668 = 592.15 : x
  2. Step 2: Convert to fraction form
    1,112.47/1,668 = 592.15/x
  3. Step 3: Cross multiply
    1,112.47x = 1,668 × 592.15
  4. Step 4: Simplify right side
    1,112.47x = 987,706.20
  5. Step 5: Solve for x
    x = 987,706.20/1,112.47
  6. Step 6: Final answer
    x = 887.85

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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.