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Finding the Fourth Proportional to 1,167.41, 1,611.69 and 774.97

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Solution

The fourth proportional to 1,167.41, 1,611.69 and 774.97 is: 1,069.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.41 : 1,611.69 = 774.97 : x
  2. Step 2: Convert to fraction form
    1,167.41/1,611.69 = 774.97/x
  3. Step 3: Cross multiply
    1,167.41x = 1,611.69 × 774.97
  4. Step 4: Simplify right side
    1,167.41x = 1,249,007.52
  5. Step 5: Solve for x
    x = 1,249,007.52/1,167.41
  6. Step 6: Final answer
    x = 1,069.90

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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.