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Finding the Fourth Proportional to 1,168.97, 1,753.46 and 1,097.69

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Solution

The fourth proportional to 1,168.97, 1,753.46 and 1,097.69 is: 1,646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.97 : 1,753.46 = 1,097.69 : x
  2. Step 2: Convert to fraction form
    1,168.97/1,753.46 = 1,097.69/x
  3. Step 3: Cross multiply
    1,168.97x = 1,753.46 × 1,097.69
  4. Step 4: Simplify right side
    1,168.97x = 1,924,762.64
  5. Step 5: Solve for x
    x = 1,924,762.64/1,168.97
  6. Step 6: Final answer
    x = 1,646.54

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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.