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Finding the Fourth Proportional to 1,382.34, 2,073.48 and 765.73

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Solution

The fourth proportional to 1,382.34, 2,073.48 and 765.73 is: 1,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.34 : 2,073.48 = 765.73 : x
  2. Step 2: Convert to fraction form
    1,382.34/2,073.48 = 765.73/x
  3. Step 3: Cross multiply
    1,382.34x = 2,073.48 × 765.73
  4. Step 4: Simplify right side
    1,382.34x = 1,587,725.84
  5. Step 5: Solve for x
    x = 1,587,725.84/1,382.34
  6. Step 6: Final answer
    x = 1,148.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.