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Finding the Fourth Proportional to 1,286.60, 1,775.48 and 789.26

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Solution

The fourth proportional to 1,286.60, 1,775.48 and 789.26 is: 1,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.60 : 1,775.48 = 789.26 : x
  2. Step 2: Convert to fraction form
    1,286.60/1,775.48 = 789.26/x
  3. Step 3: Cross multiply
    1,286.60x = 1,775.48 × 789.26
  4. Step 4: Simplify right side
    1,286.60x = 1,401,302.52
  5. Step 5: Solve for x
    x = 1,401,302.52/1,286.60
  6. Step 6: Final answer
    x = 1,089.16

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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.