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Finding the Fourth Proportional to 1,233.52, 1,701.96 and 767.44

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Solution

The fourth proportional to 1,233.52, 1,701.96 and 767.44 is: 1,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.52 : 1,701.96 = 767.44 : x
  2. Step 2: Convert to fraction form
    1,233.52/1,701.96 = 767.44/x
  3. Step 3: Cross multiply
    1,233.52x = 1,701.96 × 767.44
  4. Step 4: Simplify right side
    1,233.52x = 1,306,152.18
  5. Step 5: Solve for x
    x = 1,306,152.18/1,233.52
  6. Step 6: Final answer
    x = 1,058.88

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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.