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Finding the Fourth Proportional to 1,149.06, 1,585.74 and 625.13

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Solution

The fourth proportional to 1,149.06, 1,585.74 and 625.13 is: 862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.06 : 1,585.74 = 625.13 : x
  2. Step 2: Convert to fraction form
    1,149.06/1,585.74 = 625.13/x
  3. Step 3: Cross multiply
    1,149.06x = 1,585.74 × 625.13
  4. Step 4: Simplify right side
    1,149.06x = 991,293.65
  5. Step 5: Solve for x
    x = 991,293.65/1,149.06
  6. Step 6: Final answer
    x = 862.70

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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.