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Finding the Fourth Proportional to 746.80, 1,119.74 and 278.08

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Solution

The fourth proportional to 746.80, 1,119.74 and 278.08 is: 416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.80 : 1,119.74 = 278.08 : x
  2. Step 2: Convert to fraction form
    746.80/1,119.74 = 278.08/x
  3. Step 3: Cross multiply
    746.80x = 1,119.74 × 278.08
  4. Step 4: Simplify right side
    746.80x = 311,377.30
  5. Step 5: Solve for x
    x = 311,377.30/746.80
  6. Step 6: Final answer
    x = 416.95

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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.