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Finding the Fourth Proportional to 867.14, 1,298.38 and 677.61

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Solution

The fourth proportional to 867.14, 1,298.38 and 677.61 is: 1,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.14 : 1,298.38 = 677.61 : x
  2. Step 2: Convert to fraction form
    867.14/1,298.38 = 677.61/x
  3. Step 3: Cross multiply
    867.14x = 1,298.38 × 677.61
  4. Step 4: Simplify right side
    867.14x = 879,795.27
  5. Step 5: Solve for x
    x = 879,795.27/867.14
  6. Step 6: Final answer
    x = 1,014.59

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Why These Related Problems?

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