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Finding the Fourth Proportional to 788.26, 1,180.29 and 651.91

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Solution

The fourth proportional to 788.26, 1,180.29 and 651.91 is: 976.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.26 : 1,180.29 = 651.91 : x
  2. Step 2: Convert to fraction form
    788.26/1,180.29 = 651.91/x
  3. Step 3: Cross multiply
    788.26x = 1,180.29 × 651.91
  4. Step 4: Simplify right side
    788.26x = 769,442.85
  5. Step 5: Solve for x
    x = 769,442.85/788.26
  6. Step 6: Final answer
    x = 976.13

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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.