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Finding the Fourth Proportional to 1,049.86, 1,576.86 and 660.55

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Solution

The fourth proportional to 1,049.86, 1,576.86 and 660.55 is: 992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.86 : 1,576.86 = 660.55 : x
  2. Step 2: Convert to fraction form
    1,049.86/1,576.86 = 660.55/x
  3. Step 3: Cross multiply
    1,049.86x = 1,576.86 × 660.55
  4. Step 4: Simplify right side
    1,049.86x = 1,041,591.57
  5. Step 5: Solve for x
    x = 1,041,591.57/1,049.86
  6. Step 6: Final answer
    x = 992.13

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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.