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Finding the Fourth Proportional to 779.62, 1,074.81 and 778.18

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Solution

The fourth proportional to 779.62, 1,074.81 and 778.18 is: 1,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.62 : 1,074.81 = 778.18 : x
  2. Step 2: Convert to fraction form
    779.62/1,074.81 = 778.18/x
  3. Step 3: Cross multiply
    779.62x = 1,074.81 × 778.18
  4. Step 4: Simplify right side
    779.62x = 836,395.65
  5. Step 5: Solve for x
    x = 836,395.65/779.62
  6. Step 6: Final answer
    x = 1,072.82

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Why These Related Problems?

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