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Finding the Fourth Proportional to 713.20, 1,069.24 and 280.68

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Solution

The fourth proportional to 713.20, 1,069.24 and 280.68 is: 420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.20 : 1,069.24 = 280.68 : x
  2. Step 2: Convert to fraction form
    713.20/1,069.24 = 280.68/x
  3. Step 3: Cross multiply
    713.20x = 1,069.24 × 280.68
  4. Step 4: Simplify right side
    713.20x = 300,114.28
  5. Step 5: Solve for x
    x = 300,114.28/713.20
  6. Step 6: Final answer
    x = 420.80

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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.