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Finding the Fourth Proportional to 1,060.12, 1,589.05 and 366.60

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Solution

The fourth proportional to 1,060.12, 1,589.05 and 366.60 is: 549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.12 : 1,589.05 = 366.60 : x
  2. Step 2: Convert to fraction form
    1,060.12/1,589.05 = 366.60/x
  3. Step 3: Cross multiply
    1,060.12x = 1,589.05 × 366.60
  4. Step 4: Simplify right side
    1,060.12x = 582,545.73
  5. Step 5: Solve for x
    x = 582,545.73/1,060.12
  6. Step 6: Final answer
    x = 549.51

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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.