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Finding the Fourth Proportional to 720.81, 1,078.52 and 547.88

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Solution

The fourth proportional to 720.81, 1,078.52 and 547.88 is: 819.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.81 : 1,078.52 = 547.88 : x
  2. Step 2: Convert to fraction form
    720.81/1,078.52 = 547.88/x
  3. Step 3: Cross multiply
    720.81x = 1,078.52 × 547.88
  4. Step 4: Simplify right side
    720.81x = 590,891.41
  5. Step 5: Solve for x
    x = 590,891.41/720.81
  6. Step 6: Final answer
    x = 819.76

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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.