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Finding the Fourth Proportional to 1,082.18, 1,621.89 and 734.65

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Solution

The fourth proportional to 1,082.18, 1,621.89 and 734.65 is: 1,101.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.18 : 1,621.89 = 734.65 : x
  2. Step 2: Convert to fraction form
    1,082.18/1,621.89 = 734.65/x
  3. Step 3: Cross multiply
    1,082.18x = 1,621.89 × 734.65
  4. Step 4: Simplify right side
    1,082.18x = 1,191,513.38
  5. Step 5: Solve for x
    x = 1,191,513.38/1,082.18
  6. Step 6: Final answer
    x = 1,101.04

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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.