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Finding the Fourth Proportional to 1,230.44, 1,847.16 and 614.78

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Solution

The fourth proportional to 1,230.44, 1,847.16 and 614.78 is: 922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.44 : 1,847.16 = 614.78 : x
  2. Step 2: Convert to fraction form
    1,230.44/1,847.16 = 614.78/x
  3. Step 3: Cross multiply
    1,230.44x = 1,847.16 × 614.78
  4. Step 4: Simplify right side
    1,230.44x = 1,135,597.02
  5. Step 5: Solve for x
    x = 1,135,597.02/1,230.44
  6. Step 6: Final answer
    x = 922.92

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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.