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Finding the Fourth Proportional to 1,060.23, 1,589.45 and 411.42

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Solution

The fourth proportional to 1,060.23, 1,589.45 and 411.42 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.23 : 1,589.45 = 411.42 : x
  2. Step 2: Convert to fraction form
    1,060.23/1,589.45 = 411.42/x
  3. Step 3: Cross multiply
    1,060.23x = 1,589.45 × 411.42
  4. Step 4: Simplify right side
    1,060.23x = 653,929.46
  5. Step 5: Solve for x
    x = 653,929.46/1,060.23
  6. Step 6: Final answer
    x = 616.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.