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Finding the Fourth Proportional to 1,250.12, 1,725.62 and 752.78

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Solution

The fourth proportional to 1,250.12, 1,725.62 and 752.78 is: 1,039.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.12 : 1,725.62 = 752.78 : x
  2. Step 2: Convert to fraction form
    1,250.12/1,725.62 = 752.78/x
  3. Step 3: Cross multiply
    1,250.12x = 1,725.62 × 752.78
  4. Step 4: Simplify right side
    1,250.12x = 1,298,999.83
  5. Step 5: Solve for x
    x = 1,298,999.83/1,250.12
  6. Step 6: Final answer
    x = 1,039.10

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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.