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Finding the Fourth Proportional to 1,097.84, 1,517.08 and 866.80

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Solution

The fourth proportional to 1,097.84, 1,517.08 and 866.80 is: 1,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.84 : 1,517.08 = 866.80 : x
  2. Step 2: Convert to fraction form
    1,097.84/1,517.08 = 866.80/x
  3. Step 3: Cross multiply
    1,097.84x = 1,517.08 × 866.80
  4. Step 4: Simplify right side
    1,097.84x = 1,315,004.94
  5. Step 5: Solve for x
    x = 1,315,004.94/1,097.84
  6. Step 6: Final answer
    x = 1,197.81

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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.