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Finding the Fourth Proportional to 1,014.42, 1,399.71 and 616.11

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Solution

The fourth proportional to 1,014.42, 1,399.71 and 616.11 is: 850.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.42 : 1,399.71 = 616.11 : x
  2. Step 2: Convert to fraction form
    1,014.42/1,399.71 = 616.11/x
  3. Step 3: Cross multiply
    1,014.42x = 1,399.71 × 616.11
  4. Step 4: Simplify right side
    1,014.42x = 862,375.33
  5. Step 5: Solve for x
    x = 862,375.33/1,014.42
  6. Step 6: Final answer
    x = 850.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.