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Finding the Fourth Proportional to 898.67, 1,354.62 and 861.62

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Solution

The fourth proportional to 898.67, 1,354.62 and 861.62 is: 1,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.67 : 1,354.62 = 861.62 : x
  2. Step 2: Convert to fraction form
    898.67/1,354.62 = 861.62/x
  3. Step 3: Cross multiply
    898.67x = 1,354.62 × 861.62
  4. Step 4: Simplify right side
    898.67x = 1,167,167.68
  5. Step 5: Solve for x
    x = 1,167,167.68/898.67
  6. Step 6: Final answer
    x = 1,298.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.