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Finding the Fourth Proportional to 898.29, 1,340.96 and 861.84

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Solution

The fourth proportional to 898.29, 1,340.96 and 861.84 is: 1,286.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.29 : 1,340.96 = 861.84 : x
  2. Step 2: Convert to fraction form
    898.29/1,340.96 = 861.84/x
  3. Step 3: Cross multiply
    898.29x = 1,340.96 × 861.84
  4. Step 4: Simplify right side
    898.29x = 1,155,688.66
  5. Step 5: Solve for x
    x = 1,155,688.66/898.29
  6. Step 6: Final answer
    x = 1,286.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.