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Finding the Fourth Proportional to 1,278.48, 1,764.56 and 830.91

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Solution

The fourth proportional to 1,278.48, 1,764.56 and 830.91 is: 1,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.48 : 1,764.56 = 830.91 : x
  2. Step 2: Convert to fraction form
    1,278.48/1,764.56 = 830.91/x
  3. Step 3: Cross multiply
    1,278.48x = 1,764.56 × 830.91
  4. Step 4: Simplify right side
    1,278.48x = 1,466,186.98
  5. Step 5: Solve for x
    x = 1,466,186.98/1,278.48
  6. Step 6: Final answer
    x = 1,146.82

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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.