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Finding the Fourth Proportional to 1,149.16, 1,585.85 and 625.19

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Solution

The fourth proportional to 1,149.16, 1,585.85 and 625.19 is: 862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.16 : 1,585.85 = 625.19 : x
  2. Step 2: Convert to fraction form
    1,149.16/1,585.85 = 625.19/x
  3. Step 3: Cross multiply
    1,149.16x = 1,585.85 × 625.19
  4. Step 4: Simplify right side
    1,149.16x = 991,454.44
  5. Step 5: Solve for x
    x = 991,454.44/1,149.16
  6. Step 6: Final answer
    x = 862.76

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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.