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Finding the Fourth Proportional to 778.54, 1,167.03 and 490.18

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Solution

The fourth proportional to 778.54, 1,167.03 and 490.18 is: 734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.54 : 1,167.03 = 490.18 : x
  2. Step 2: Convert to fraction form
    778.54/1,167.03 = 490.18/x
  3. Step 3: Cross multiply
    778.54x = 1,167.03 × 490.18
  4. Step 4: Simplify right side
    778.54x = 572,054.77
  5. Step 5: Solve for x
    x = 572,054.77/778.54
  6. Step 6: Final answer
    x = 734.78

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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.