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Finding the Fourth Proportional to 1,082.10, 1,623.14 and 734.57

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Solution

The fourth proportional to 1,082.10, 1,623.14 and 734.57 is: 1,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.10 : 1,623.14 = 734.57 : x
  2. Step 2: Convert to fraction form
    1,082.10/1,623.14 = 734.57/x
  3. Step 3: Cross multiply
    1,082.10x = 1,623.14 × 734.57
  4. Step 4: Simplify right side
    1,082.10x = 1,192,306.28
  5. Step 5: Solve for x
    x = 1,192,306.28/1,082.10
  6. Step 6: Final answer
    x = 1,101.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.