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Finding the Fourth Proportional to 1,217.26, 1,825.04 and 778.78

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Solution

The fourth proportional to 1,217.26, 1,825.04 and 778.78 is: 1,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.26 : 1,825.04 = 778.78 : x
  2. Step 2: Convert to fraction form
    1,217.26/1,825.04 = 778.78/x
  3. Step 3: Cross multiply
    1,217.26x = 1,825.04 × 778.78
  4. Step 4: Simplify right side
    1,217.26x = 1,421,295.53
  5. Step 5: Solve for x
    x = 1,421,295.53/1,217.26
  6. Step 6: Final answer
    x = 1,167.62

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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.