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Finding the Fourth Proportional to 1,082.25, 1,614.94 and 965.89

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Solution

The fourth proportional to 1,082.25, 1,614.94 and 965.89 is: 1,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.25 : 1,614.94 = 965.89 : x
  2. Step 2: Convert to fraction form
    1,082.25/1,614.94 = 965.89/x
  3. Step 3: Cross multiply
    1,082.25x = 1,614.94 × 965.89
  4. Step 4: Simplify right side
    1,082.25x = 1,559,854.40
  5. Step 5: Solve for x
    x = 1,559,854.40/1,082.25
  6. Step 6: Final answer
    x = 1,441.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.