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Finding the Fourth Proportional to 1,061.97, 1,591.59 and 992.85

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Solution

The fourth proportional to 1,061.97, 1,591.59 and 992.85 is: 1,488.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.97 : 1,591.59 = 992.85 : x
  2. Step 2: Convert to fraction form
    1,061.97/1,591.59 = 992.85/x
  3. Step 3: Cross multiply
    1,061.97x = 1,591.59 × 992.85
  4. Step 4: Simplify right side
    1,061.97x = 1,580,210.13
  5. Step 5: Solve for x
    x = 1,580,210.13/1,061.97
  6. Step 6: Final answer
    x = 1,488.00

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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.