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Finding the Fourth Proportional to 1,061.71, 1,591.95 and 411.68

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Solution

The fourth proportional to 1,061.71, 1,591.95 and 411.68 is: 617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.71 : 1,591.95 = 411.68 : x
  2. Step 2: Convert to fraction form
    1,061.71/1,591.95 = 411.68/x
  3. Step 3: Cross multiply
    1,061.71x = 1,591.95 × 411.68
  4. Step 4: Simplify right side
    1,061.71x = 655,373.04
  5. Step 5: Solve for x
    x = 655,373.04/1,061.71
  6. Step 6: Final answer
    x = 617.28

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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.