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Finding the Fourth Proportional to 1,083.38, 1,624.14 and 498.20

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Solution

The fourth proportional to 1,083.38, 1,624.14 and 498.20 is: 746.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.38 : 1,624.14 = 498.20 : x
  2. Step 2: Convert to fraction form
    1,083.38/1,624.14 = 498.20/x
  3. Step 3: Cross multiply
    1,083.38x = 1,624.14 × 498.20
  4. Step 4: Simplify right side
    1,083.38x = 809,143.73
  5. Step 5: Solve for x
    x = 809,143.73/1,083.38
  6. Step 6: Final answer
    x = 746.87

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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.