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Finding the Fourth Proportional to 1,544.77, 2,318.78 and 571.15

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Solution

The fourth proportional to 1,544.77, 2,318.78 and 571.15 is: 857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,544.77 : 2,318.78 = 571.15 : x
  2. Step 2: Convert to fraction form
    1,544.77/2,318.78 = 571.15/x
  3. Step 3: Cross multiply
    1,544.77x = 2,318.78 × 571.15
  4. Step 4: Simplify right side
    1,544.77x = 1,324,371.20
  5. Step 5: Solve for x
    x = 1,324,371.20/1,544.77
  6. Step 6: Final answer
    x = 857.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.