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Finding the Fourth Proportional to 866.80, 1,300.20 and 777.20

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Solution

The fourth proportional to 866.80, 1,300.20 and 777.20 is: 1,165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.80 : 1,300.20 = 777.20 : x
  2. Step 2: Convert to fraction form
    866.80/1,300.20 = 777.20/x
  3. Step 3: Cross multiply
    866.80x = 1,300.20 × 777.20
  4. Step 4: Simplify right side
    866.80x = 1,010,515.44
  5. Step 5: Solve for x
    x = 1,010,515.44/866.80
  6. Step 6: Final answer
    x = 1,165.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.