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Finding the Fourth Proportional to 1,338.96, 2,008.56 and 414.44

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Solution

The fourth proportional to 1,338.96, 2,008.56 and 414.44 is: 621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.96 : 2,008.56 = 414.44 : x
  2. Step 2: Convert to fraction form
    1,338.96/2,008.56 = 414.44/x
  3. Step 3: Cross multiply
    1,338.96x = 2,008.56 × 414.44
  4. Step 4: Simplify right side
    1,338.96x = 832,427.61
  5. Step 5: Solve for x
    x = 832,427.61/1,338.96
  6. Step 6: Final answer
    x = 621.70

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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.