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Finding the Fourth Proportional to 1,061.23, 1,591.89 and 650.11

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Solution

The fourth proportional to 1,061.23, 1,591.89 and 650.11 is: 975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.23 : 1,591.89 = 650.11 : x
  2. Step 2: Convert to fraction form
    1,061.23/1,591.89 = 650.11/x
  3. Step 3: Cross multiply
    1,061.23x = 1,591.89 × 650.11
  4. Step 4: Simplify right side
    1,061.23x = 1,034,903.61
  5. Step 5: Solve for x
    x = 1,034,903.61/1,061.23
  6. Step 6: Final answer
    x = 975.19

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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.