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Finding the Fourth Proportional to 778.88, 1,166.80 and 518.10

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Solution

The fourth proportional to 778.88, 1,166.80 and 518.10 is: 776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.88 : 1,166.80 = 518.10 : x
  2. Step 2: Convert to fraction form
    778.88/1,166.80 = 518.10/x
  3. Step 3: Cross multiply
    778.88x = 1,166.80 × 518.10
  4. Step 4: Simplify right side
    778.88x = 604,519.08
  5. Step 5: Solve for x
    x = 604,519.08/778.88
  6. Step 6: Final answer
    x = 776.14

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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.