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Finding the Fourth Proportional to 912.12, 1,367.88 and 425.56

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Solution

The fourth proportional to 912.12, 1,367.88 and 425.56 is: 638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.12 : 1,367.88 = 425.56 : x
  2. Step 2: Convert to fraction form
    912.12/1,367.88 = 425.56/x
  3. Step 3: Cross multiply
    912.12x = 1,367.88 × 425.56
  4. Step 4: Simplify right side
    912.12x = 582,115.01
  5. Step 5: Solve for x
    x = 582,115.01/912.12
  6. Step 6: Final answer
    x = 638.20

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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.