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Finding the Fourth Proportional to 1,060.62, 1,589.98 and 566.65

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Solution

The fourth proportional to 1,060.62, 1,589.98 and 566.65 is: 849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.62 : 1,589.98 = 566.65 : x
  2. Step 2: Convert to fraction form
    1,060.62/1,589.98 = 566.65/x
  3. Step 3: Cross multiply
    1,060.62x = 1,589.98 × 566.65
  4. Step 4: Simplify right side
    1,060.62x = 900,954.86
  5. Step 5: Solve for x
    x = 900,954.86/1,060.62
  6. Step 6: Final answer
    x = 849.46

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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.