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Finding the Fourth Proportional to 779.78, 1,169.72 and 259.76

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Solution

The fourth proportional to 779.78, 1,169.72 and 259.76 is: 389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.78 : 1,169.72 = 259.76 : x
  2. Step 2: Convert to fraction form
    779.78/1,169.72 = 259.76/x
  3. Step 3: Cross multiply
    779.78x = 1,169.72 × 259.76
  4. Step 4: Simplify right side
    779.78x = 303,839.32
  5. Step 5: Solve for x
    x = 303,839.32/779.78
  6. Step 6: Final answer
    x = 389.65

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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.