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Finding the Fourth Proportional to 1,168.26, 1,611.66 and 775.54

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Solution

The fourth proportional to 1,168.26, 1,611.66 and 775.54 is: 1,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.26 : 1,611.66 = 775.54 : x
  2. Step 2: Convert to fraction form
    1,168.26/1,611.66 = 775.54/x
  3. Step 3: Cross multiply
    1,168.26x = 1,611.66 × 775.54
  4. Step 4: Simplify right side
    1,168.26x = 1,249,906.80
  5. Step 5: Solve for x
    x = 1,249,906.80/1,168.26
  6. Step 6: Final answer
    x = 1,069.89

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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.