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Finding the Fourth Proportional to 1,061.46, 1,592.42 and 444.85

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Solution

The fourth proportional to 1,061.46, 1,592.42 and 444.85 is: 667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.46 : 1,592.42 = 444.85 : x
  2. Step 2: Convert to fraction form
    1,061.46/1,592.42 = 444.85/x
  3. Step 3: Cross multiply
    1,061.46x = 1,592.42 × 444.85
  4. Step 4: Simplify right side
    1,061.46x = 708,381.83
  5. Step 5: Solve for x
    x = 708,381.83/1,061.46
  6. Step 6: Final answer
    x = 667.37

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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.