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Finding the Fourth Proportional to 1,073.38, 1,598.10 and 1,060.42

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Solution

The fourth proportional to 1,073.38, 1,598.10 and 1,060.42 is: 1,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.38 : 1,598.10 = 1,060.42 : x
  2. Step 2: Convert to fraction form
    1,073.38/1,598.10 = 1,060.42/x
  3. Step 3: Cross multiply
    1,073.38x = 1,598.10 × 1,060.42
  4. Step 4: Simplify right side
    1,073.38x = 1,694,657.20
  5. Step 5: Solve for x
    x = 1,694,657.20/1,073.38
  6. Step 6: Final answer
    x = 1,578.80

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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.