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Finding the Fourth Proportional to 1,061.06, 1,591.65 and 411.74

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Solution

The fourth proportional to 1,061.06, 1,591.65 and 411.74 is: 617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.06 : 1,591.65 = 411.74 : x
  2. Step 2: Convert to fraction form
    1,061.06/1,591.65 = 411.74/x
  3. Step 3: Cross multiply
    1,061.06x = 1,591.65 × 411.74
  4. Step 4: Simplify right side
    1,061.06x = 655,345.97
  5. Step 5: Solve for x
    x = 655,345.97/1,061.06
  6. Step 6: Final answer
    x = 617.63

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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.