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Finding the Fourth Proportional to 1,286.35, 1,929.62 and 712.87

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Solution

The fourth proportional to 1,286.35, 1,929.62 and 712.87 is: 1,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.35 : 1,929.62 = 712.87 : x
  2. Step 2: Convert to fraction form
    1,286.35/1,929.62 = 712.87/x
  3. Step 3: Cross multiply
    1,286.35x = 1,929.62 × 712.87
  4. Step 4: Simplify right side
    1,286.35x = 1,375,565.17
  5. Step 5: Solve for x
    x = 1,375,565.17/1,286.35
  6. Step 6: Final answer
    x = 1,069.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.