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Finding the Fourth Proportional to 1,061.55, 1,591.52 and 411.93

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Solution

The fourth proportional to 1,061.55, 1,591.52 and 411.93 is: 617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.55 : 1,591.52 = 411.93 : x
  2. Step 2: Convert to fraction form
    1,061.55/1,591.52 = 411.93/x
  3. Step 3: Cross multiply
    1,061.55x = 1,591.52 × 411.93
  4. Step 4: Simplify right side
    1,061.55x = 655,592.77
  5. Step 5: Solve for x
    x = 655,592.77/1,061.55
  6. Step 6: Final answer
    x = 617.58

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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.