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Finding the Fourth Proportional to 1,398.67, 2,098.31 and 411.53

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Solution

The fourth proportional to 1,398.67, 2,098.31 and 411.53 is: 617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.67 : 2,098.31 = 411.53 : x
  2. Step 2: Convert to fraction form
    1,398.67/2,098.31 = 411.53/x
  3. Step 3: Cross multiply
    1,398.67x = 2,098.31 × 411.53
  4. Step 4: Simplify right side
    1,398.67x = 863,504.97
  5. Step 5: Solve for x
    x = 863,504.97/1,398.67
  6. Step 6: Final answer
    x = 617.38

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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.