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Finding the Fourth Proportional to 1,060.06, 1,589.82 and 474.73

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Solution

The fourth proportional to 1,060.06, 1,589.82 and 474.73 is: 711.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.06 : 1,589.82 = 474.73 : x
  2. Step 2: Convert to fraction form
    1,060.06/1,589.82 = 474.73/x
  3. Step 3: Cross multiply
    1,060.06x = 1,589.82 × 474.73
  4. Step 4: Simplify right side
    1,060.06x = 754,732.87
  5. Step 5: Solve for x
    x = 754,732.87/1,060.06
  6. Step 6: Final answer
    x = 711.97

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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.