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Finding the Fourth Proportional to 721.68, 1,082.70 and 289.32

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Solution

The fourth proportional to 721.68, 1,082.70 and 289.32 is: 434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.68 : 1,082.70 = 289.32 : x
  2. Step 2: Convert to fraction form
    721.68/1,082.70 = 289.32/x
  3. Step 3: Cross multiply
    721.68x = 1,082.70 × 289.32
  4. Step 4: Simplify right side
    721.68x = 313,246.76
  5. Step 5: Solve for x
    x = 313,246.76/721.68
  6. Step 6: Final answer
    x = 434.05

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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.