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Finding the Fourth Proportional to 1,082.28, 1,622.37 and 588.87

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Solution

The fourth proportional to 1,082.28, 1,622.37 and 588.87 is: 882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.28 : 1,622.37 = 588.87 : x
  2. Step 2: Convert to fraction form
    1,082.28/1,622.37 = 588.87/x
  3. Step 3: Cross multiply
    1,082.28x = 1,622.37 × 588.87
  4. Step 4: Simplify right side
    1,082.28x = 955,365.02
  5. Step 5: Solve for x
    x = 955,365.02/1,082.28
  6. Step 6: Final answer
    x = 882.73

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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.