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Finding the Fourth Proportional to 1,338.56, 2,008.03 and 414.19

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Solution

The fourth proportional to 1,338.56, 2,008.03 and 414.19 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.56 : 2,008.03 = 414.19 : x
  2. Step 2: Convert to fraction form
    1,338.56/2,008.03 = 414.19/x
  3. Step 3: Cross multiply
    1,338.56x = 2,008.03 × 414.19
  4. Step 4: Simplify right side
    1,338.56x = 831,699.89
  5. Step 5: Solve for x
    x = 831,699.89/1,338.56
  6. Step 6: Final answer
    x = 621.34

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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.