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Finding the Fourth Proportional to 1,076.87, 1,613.03 and 614.41

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Solution

The fourth proportional to 1,076.87, 1,613.03 and 614.41 is: 920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.87 : 1,613.03 = 614.41 : x
  2. Step 2: Convert to fraction form
    1,076.87/1,613.03 = 614.41/x
  3. Step 3: Cross multiply
    1,076.87x = 1,613.03 × 614.41
  4. Step 4: Simplify right side
    1,076.87x = 991,060.06
  5. Step 5: Solve for x
    x = 991,060.06/1,076.87
  6. Step 6: Final answer
    x = 920.32

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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.