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Finding the Fourth Proportional to 1,250.73, 1,725.30 and 753.09

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Solution

The fourth proportional to 1,250.73, 1,725.30 and 753.09 is: 1,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.73 : 1,725.30 = 753.09 : x
  2. Step 2: Convert to fraction form
    1,250.73/1,725.30 = 753.09/x
  3. Step 3: Cross multiply
    1,250.73x = 1,725.30 × 753.09
  4. Step 4: Simplify right side
    1,250.73x = 1,299,306.18
  5. Step 5: Solve for x
    x = 1,299,306.18/1,250.73
  6. Step 6: Final answer
    x = 1,038.84

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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.