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Finding the Fourth Proportional to 778.34, 1,167.64 and 388.37

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Solution

The fourth proportional to 778.34, 1,167.64 and 388.37 is: 582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.34 : 1,167.64 = 388.37 : x
  2. Step 2: Convert to fraction form
    778.34/1,167.64 = 388.37/x
  3. Step 3: Cross multiply
    778.34x = 1,167.64 × 388.37
  4. Step 4: Simplify right side
    778.34x = 453,478.29
  5. Step 5: Solve for x
    x = 453,478.29/778.34
  6. Step 6: Final answer
    x = 582.62

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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.