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Finding the Fourth Proportional to 1,286.14, 1,773.01 and 788.46

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Solution

The fourth proportional to 1,286.14, 1,773.01 and 788.46 is: 1,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.14 : 1,773.01 = 788.46 : x
  2. Step 2: Convert to fraction form
    1,286.14/1,773.01 = 788.46/x
  3. Step 3: Cross multiply
    1,286.14x = 1,773.01 × 788.46
  4. Step 4: Simplify right side
    1,286.14x = 1,397,947.46
  5. Step 5: Solve for x
    x = 1,397,947.46/1,286.14
  6. Step 6: Final answer
    x = 1,086.93

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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.