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Finding the Fourth Proportional to 1,167.39, 1,756.96 and 876.44

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Solution

The fourth proportional to 1,167.39, 1,756.96 and 876.44 is: 1,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.39 : 1,756.96 = 876.44 : x
  2. Step 2: Convert to fraction form
    1,167.39/1,756.96 = 876.44/x
  3. Step 3: Cross multiply
    1,167.39x = 1,756.96 × 876.44
  4. Step 4: Simplify right side
    1,167.39x = 1,539,872.22
  5. Step 5: Solve for x
    x = 1,539,872.22/1,167.39
  6. Step 6: Final answer
    x = 1,319.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.