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Finding the Fourth Proportional to 1,299.28, 1,948.98 and 721.72

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Solution

The fourth proportional to 1,299.28, 1,948.98 and 721.72 is: 1,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.28 : 1,948.98 = 721.72 : x
  2. Step 2: Convert to fraction form
    1,299.28/1,948.98 = 721.72/x
  3. Step 3: Cross multiply
    1,299.28x = 1,948.98 × 721.72
  4. Step 4: Simplify right side
    1,299.28x = 1,406,617.85
  5. Step 5: Solve for x
    x = 1,406,617.85/1,299.28
  6. Step 6: Final answer
    x = 1,082.61

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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.