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Finding the Fourth Proportional to 1,278.93, 1,764.36 and 836.88

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Solution

The fourth proportional to 1,278.93, 1,764.36 and 836.88 is: 1,154.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.93 : 1,764.36 = 836.88 : x
  2. Step 2: Convert to fraction form
    1,278.93/1,764.36 = 836.88/x
  3. Step 3: Cross multiply
    1,278.93x = 1,764.36 × 836.88
  4. Step 4: Simplify right side
    1,278.93x = 1,476,557.60
  5. Step 5: Solve for x
    x = 1,476,557.60/1,278.93
  6. Step 6: Final answer
    x = 1,154.53

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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.