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Finding the Fourth Proportional to 1,061.16, 1,592.46 and 411.81

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Solution

The fourth proportional to 1,061.16, 1,592.46 and 411.81 is: 617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.16 : 1,592.46 = 411.81 : x
  2. Step 2: Convert to fraction form
    1,061.16/1,592.46 = 411.81/x
  3. Step 3: Cross multiply
    1,061.16x = 1,592.46 × 411.81
  4. Step 4: Simplify right side
    1,061.16x = 655,790.95
  5. Step 5: Solve for x
    x = 655,790.95/1,061.16
  6. Step 6: Final answer
    x = 617.99

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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.