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Finding the Fourth Proportional to 1,167.88, 1,751.47 and 961.94

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Solution

The fourth proportional to 1,167.88, 1,751.47 and 961.94 is: 1,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.88 : 1,751.47 = 961.94 : x
  2. Step 2: Convert to fraction form
    1,167.88/1,751.47 = 961.94/x
  3. Step 3: Cross multiply
    1,167.88x = 1,751.47 × 961.94
  4. Step 4: Simplify right side
    1,167.88x = 1,684,797.89
  5. Step 5: Solve for x
    x = 1,684,797.89/1,167.88
  6. Step 6: Final answer
    x = 1,442.62

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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.