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Finding the Fourth Proportional to 1,286.15, 1,774.91 and 789.06

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Solution

The fourth proportional to 1,286.15, 1,774.91 and 789.06 is: 1,088.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.15 : 1,774.91 = 789.06 : x
  2. Step 2: Convert to fraction form
    1,286.15/1,774.91 = 789.06/x
  3. Step 3: Cross multiply
    1,286.15x = 1,774.91 × 789.06
  4. Step 4: Simplify right side
    1,286.15x = 1,400,509.13
  5. Step 5: Solve for x
    x = 1,400,509.13/1,286.15
  6. Step 6: Final answer
    x = 1,088.92

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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.