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Finding the Fourth Proportional to 1,286.78, 1,774.82 and 814.75

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Solution

The fourth proportional to 1,286.78, 1,774.82 and 814.75 is: 1,123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.78 : 1,774.82 = 814.75 : x
  2. Step 2: Convert to fraction form
    1,286.78/1,774.82 = 814.75/x
  3. Step 3: Cross multiply
    1,286.78x = 1,774.82 × 814.75
  4. Step 4: Simplify right side
    1,286.78x = 1,446,038.01
  5. Step 5: Solve for x
    x = 1,446,038.01/1,286.78
  6. Step 6: Final answer
    x = 1,123.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.