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Finding the Fourth Proportional to 1,282.04, 1,768.86 and 722.52

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Solution

The fourth proportional to 1,282.04, 1,768.86 and 722.52 is: 996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.04 : 1,768.86 = 722.52 : x
  2. Step 2: Convert to fraction form
    1,282.04/1,768.86 = 722.52/x
  3. Step 3: Cross multiply
    1,282.04x = 1,768.86 × 722.52
  4. Step 4: Simplify right side
    1,282.04x = 1,278,036.73
  5. Step 5: Solve for x
    x = 1,278,036.73/1,282.04
  6. Step 6: Final answer
    x = 996.88

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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.