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Finding the Fourth Proportional to 1,082.34, 1,623.85 and 735.15

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Solution

The fourth proportional to 1,082.34, 1,623.85 and 735.15 is: 1,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.34 : 1,623.85 = 735.15 : x
  2. Step 2: Convert to fraction form
    1,082.34/1,623.85 = 735.15/x
  3. Step 3: Cross multiply
    1,082.34x = 1,623.85 × 735.15
  4. Step 4: Simplify right side
    1,082.34x = 1,193,773.01
  5. Step 5: Solve for x
    x = 1,193,773.01/1,082.34
  6. Step 6: Final answer
    x = 1,102.96

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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.