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Finding the Fourth Proportional to 721.14, 1,081.80 and 288.20

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Solution

The fourth proportional to 721.14, 1,081.80 and 288.20 is: 432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.14 : 1,081.80 = 288.20 : x
  2. Step 2: Convert to fraction form
    721.14/1,081.80 = 288.20/x
  3. Step 3: Cross multiply
    721.14x = 1,081.80 × 288.20
  4. Step 4: Simplify right side
    721.14x = 311,774.76
  5. Step 5: Solve for x
    x = 311,774.76/721.14
  6. Step 6: Final answer
    x = 432.34

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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.