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Finding the Fourth Proportional to 1,082.74, 1,494.78 and 663.20

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Solution

The fourth proportional to 1,082.74, 1,494.78 and 663.20 is: 915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.74 : 1,494.78 = 663.20 : x
  2. Step 2: Convert to fraction form
    1,082.74/1,494.78 = 663.20/x
  3. Step 3: Cross multiply
    1,082.74x = 1,494.78 × 663.20
  4. Step 4: Simplify right side
    1,082.74x = 991,338.10
  5. Step 5: Solve for x
    x = 991,338.10/1,082.74
  6. Step 6: Final answer
    x = 915.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.