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Finding the Fourth Proportional to 721.04, 1,082.63 and 289.04

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Solution

The fourth proportional to 721.04, 1,082.63 and 289.04 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.04 : 1,082.63 = 289.04 : x
  2. Step 2: Convert to fraction form
    721.04/1,082.63 = 289.04/x
  3. Step 3: Cross multiply
    721.04x = 1,082.63 × 289.04
  4. Step 4: Simplify right side
    721.04x = 312,918.68
  5. Step 5: Solve for x
    x = 312,918.68/721.04
  6. Step 6: Final answer
    x = 433.99

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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.