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Finding the Fourth Proportional to 1,395.59, 2,092.89 and 408.13

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Solution

The fourth proportional to 1,395.59, 2,092.89 and 408.13 is: 612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.59 : 2,092.89 = 408.13 : x
  2. Step 2: Convert to fraction form
    1,395.59/2,092.89 = 408.13/x
  3. Step 3: Cross multiply
    1,395.59x = 2,092.89 × 408.13
  4. Step 4: Simplify right side
    1,395.59x = 854,160.73
  5. Step 5: Solve for x
    x = 854,160.73/1,395.59
  6. Step 6: Final answer
    x = 612.04

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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.