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Finding the Fourth Proportional to 779.46, 1,169.25 and 346.50

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Solution

The fourth proportional to 779.46, 1,169.25 and 346.50 is: 519.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.46 : 1,169.25 = 346.50 : x
  2. Step 2: Convert to fraction form
    779.46/1,169.25 = 346.50/x
  3. Step 3: Cross multiply
    779.46x = 1,169.25 × 346.50
  4. Step 4: Simplify right side
    779.46x = 405,145.13
  5. Step 5: Solve for x
    x = 405,145.13/779.46
  6. Step 6: Final answer
    x = 519.78

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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.