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Finding the Fourth Proportional to 720.56, 1,081.14 and 287.78

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Solution

The fourth proportional to 720.56, 1,081.14 and 287.78 is: 431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.56 : 1,081.14 = 287.78 : x
  2. Step 2: Convert to fraction form
    720.56/1,081.14 = 287.78/x
  3. Step 3: Cross multiply
    720.56x = 1,081.14 × 287.78
  4. Step 4: Simplify right side
    720.56x = 311,130.47
  5. Step 5: Solve for x
    x = 311,130.47/720.56
  6. Step 6: Final answer
    x = 431.79

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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.