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Finding the Fourth Proportional to 1,060.30, 1,589.91 and 411.22

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Solution

The fourth proportional to 1,060.30, 1,589.91 and 411.22 is: 616.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.30 : 1,589.91 = 411.22 : x
  2. Step 2: Convert to fraction form
    1,060.30/1,589.91 = 411.22/x
  3. Step 3: Cross multiply
    1,060.30x = 1,589.91 × 411.22
  4. Step 4: Simplify right side
    1,060.30x = 653,802.79
  5. Step 5: Solve for x
    x = 653,802.79/1,060.30
  6. Step 6: Final answer
    x = 616.62

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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.