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Finding the Fourth Proportional to 1,061.14, 1,591.12 and 540.82

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Solution

The fourth proportional to 1,061.14, 1,591.12 and 540.82 is: 810.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.14 : 1,591.12 = 540.82 : x
  2. Step 2: Convert to fraction form
    1,061.14/1,591.12 = 540.82/x
  3. Step 3: Cross multiply
    1,061.14x = 1,591.12 × 540.82
  4. Step 4: Simplify right side
    1,061.14x = 860,509.52
  5. Step 5: Solve for x
    x = 860,509.52/1,061.14
  6. Step 6: Final answer
    x = 810.93

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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.