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Finding the Fourth Proportional to 1,125.99, 1,680.38 and 1,002.97

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Solution

The fourth proportional to 1,125.99, 1,680.38 and 1,002.97 is: 1,496.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.99 : 1,680.38 = 1,002.97 : x
  2. Step 2: Convert to fraction form
    1,125.99/1,680.38 = 1,002.97/x
  3. Step 3: Cross multiply
    1,125.99x = 1,680.38 × 1,002.97
  4. Step 4: Simplify right side
    1,125.99x = 1,685,370.73
  5. Step 5: Solve for x
    x = 1,685,370.73/1,125.99
  6. Step 6: Final answer
    x = 1,496.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.