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Finding the Fourth Proportional to 778.26, 1,165.47 and 452.64

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Solution

The fourth proportional to 778.26, 1,165.47 and 452.64 is: 677.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.26 : 1,165.47 = 452.64 : x
  2. Step 2: Convert to fraction form
    778.26/1,165.47 = 452.64/x
  3. Step 3: Cross multiply
    778.26x = 1,165.47 × 452.64
  4. Step 4: Simplify right side
    778.26x = 527,538.34
  5. Step 5: Solve for x
    x = 527,538.34/778.26
  6. Step 6: Final answer
    x = 677.84

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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.