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Finding the Fourth Proportional to 1,149.06, 1,585.72 and 625.11

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Solution

The fourth proportional to 1,149.06, 1,585.72 and 625.11 is: 862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.06 : 1,585.72 = 625.11 : x
  2. Step 2: Convert to fraction form
    1,149.06/1,585.72 = 625.11/x
  3. Step 3: Cross multiply
    1,149.06x = 1,585.72 × 625.11
  4. Step 4: Simplify right side
    1,149.06x = 991,249.43
  5. Step 5: Solve for x
    x = 991,249.43/1,149.06
  6. Step 6: Final answer
    x = 862.66

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Why These Related Problems?

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