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Finding the Fourth Proportional to 874, 1,310.52 and 778

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Solution

The fourth proportional to 874, 1,310.52 and 778 is: 1,166.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    874 : 1,310.52 = 778 : x
  2. Step 2: Convert to fraction form
    874/1,310.52 = 778/x
  3. Step 3: Cross multiply
    874x = 1,310.52 × 778
  4. Step 4: Simplify right side
    874x = 1,019,584.56
  5. Step 5: Solve for x
    x = 1,019,584.56/874
  6. Step 6: Final answer
    x = 1,166.57

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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.