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Finding the Fourth Proportional to 778.00, 1,166.72 and 339.23

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Solution

The fourth proportional to 778.00, 1,166.72 and 339.23 is: 508.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.00 : 1,166.72 = 339.23 : x
  2. Step 2: Convert to fraction form
    778.00/1,166.72 = 339.23/x
  3. Step 3: Cross multiply
    778.00x = 1,166.72 × 339.23
  4. Step 4: Simplify right side
    778.00x = 395,778.90
  5. Step 5: Solve for x
    x = 395,778.90/778.00
  6. Step 6: Final answer
    x = 508.71

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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.