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Finding the Fourth Proportional to 720.76, 1,079.92 and 567.68

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Solution

The fourth proportional to 720.76, 1,079.92 and 567.68 is: 850.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.76 : 1,079.92 = 567.68 : x
  2. Step 2: Convert to fraction form
    720.76/1,079.92 = 567.68/x
  3. Step 3: Cross multiply
    720.76x = 1,079.92 × 567.68
  4. Step 4: Simplify right side
    720.76x = 613,048.99
  5. Step 5: Solve for x
    x = 613,048.99/720.76
  6. Step 6: Final answer
    x = 850.56

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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.