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Finding the Fourth Proportional to 1,060.29, 1,589.31 and 475.59

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Solution

The fourth proportional to 1,060.29, 1,589.31 and 475.59 is: 712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.29 : 1,589.31 = 475.59 : x
  2. Step 2: Convert to fraction form
    1,060.29/1,589.31 = 475.59/x
  3. Step 3: Cross multiply
    1,060.29x = 1,589.31 × 475.59
  4. Step 4: Simplify right side
    1,060.29x = 755,859.94
  5. Step 5: Solve for x
    x = 755,859.94/1,060.29
  6. Step 6: Final answer
    x = 712.88

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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.