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Finding the Fourth Proportional to 866.40, 1,297.05 and 540.78

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Solution

The fourth proportional to 866.40, 1,297.05 and 540.78 is: 809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.40 : 1,297.05 = 540.78 : x
  2. Step 2: Convert to fraction form
    866.40/1,297.05 = 540.78/x
  3. Step 3: Cross multiply
    866.40x = 1,297.05 × 540.78
  4. Step 4: Simplify right side
    866.40x = 701,418.70
  5. Step 5: Solve for x
    x = 701,418.70/866.40
  6. Step 6: Final answer
    x = 809.58

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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.