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Finding the Fourth Proportional to 811.18, 1,218.64 and 778.40

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Solution

The fourth proportional to 811.18, 1,218.64 and 778.40 is: 1,169.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.18 : 1,218.64 = 778.40 : x
  2. Step 2: Convert to fraction form
    811.18/1,218.64 = 778.40/x
  3. Step 3: Cross multiply
    811.18x = 1,218.64 × 778.40
  4. Step 4: Simplify right side
    811.18x = 948,589.38
  5. Step 5: Solve for x
    x = 948,589.38/811.18
  6. Step 6: Final answer
    x = 1,169.39

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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.