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Finding the Fourth Proportional to 721.92, 1,082.40 and 465.28

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Solution

The fourth proportional to 721.92, 1,082.40 and 465.28 is: 697.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.92 : 1,082.40 = 465.28 : x
  2. Step 2: Convert to fraction form
    721.92/1,082.40 = 465.28/x
  3. Step 3: Cross multiply
    721.92x = 1,082.40 × 465.28
  4. Step 4: Simplify right side
    721.92x = 503,619.07
  5. Step 5: Solve for x
    x = 503,619.07/721.92
  6. Step 6: Final answer
    x = 697.61

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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.