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Finding the Fourth Proportional to 1,398.42, 2,097.11 and 410.96

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Solution

The fourth proportional to 1,398.42, 2,097.11 and 410.96 is: 616.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.42 : 2,097.11 = 410.96 : x
  2. Step 2: Convert to fraction form
    1,398.42/2,097.11 = 410.96/x
  3. Step 3: Cross multiply
    1,398.42x = 2,097.11 × 410.96
  4. Step 4: Simplify right side
    1,398.42x = 861,832.54
  5. Step 5: Solve for x
    x = 861,832.54/1,398.42
  6. Step 6: Final answer
    x = 616.29

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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.