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Finding the Fourth Proportional to 1,669.31, 2,504.56 and 744.78

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Solution

The fourth proportional to 1,669.31, 2,504.56 and 744.78 is: 1,117.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.31 : 2,504.56 = 744.78 : x
  2. Step 2: Convert to fraction form
    1,669.31/2,504.56 = 744.78/x
  3. Step 3: Cross multiply
    1,669.31x = 2,504.56 × 744.78
  4. Step 4: Simplify right side
    1,669.31x = 1,865,346.20
  5. Step 5: Solve for x
    x = 1,865,346.20/1,669.31
  6. Step 6: Final answer
    x = 1,117.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.