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Finding the Fourth Proportional to 1,061.16, 1,591.91 and 444.55

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Solution

The fourth proportional to 1,061.16, 1,591.91 and 444.55 is: 666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.16 : 1,591.91 = 444.55 : x
  2. Step 2: Convert to fraction form
    1,061.16/1,591.91 = 444.55/x
  3. Step 3: Cross multiply
    1,061.16x = 1,591.91 × 444.55
  4. Step 4: Simplify right side
    1,061.16x = 707,683.59
  5. Step 5: Solve for x
    x = 707,683.59/1,061.16
  6. Step 6: Final answer
    x = 666.90

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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.