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Finding the Fourth Proportional to 1,334.18, 1,841.35 and 744.75

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Solution

The fourth proportional to 1,334.18, 1,841.35 and 744.75 is: 1,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.18 : 1,841.35 = 744.75 : x
  2. Step 2: Convert to fraction form
    1,334.18/1,841.35 = 744.75/x
  3. Step 3: Cross multiply
    1,334.18x = 1,841.35 × 744.75
  4. Step 4: Simplify right side
    1,334.18x = 1,371,344.95
  5. Step 5: Solve for x
    x = 1,371,344.95/1,334.18
  6. Step 6: Final answer
    x = 1,027.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.