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Finding the Fourth Proportional to 779.76, 1,169.64 and 194.76

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Solution

The fourth proportional to 779.76, 1,169.64 and 194.76 is: 292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.76 : 1,169.64 = 194.76 : x
  2. Step 2: Convert to fraction form
    779.76/1,169.64 = 194.76/x
  3. Step 3: Cross multiply
    779.76x = 1,169.64 × 194.76
  4. Step 4: Simplify right side
    779.76x = 227,799.09
  5. Step 5: Solve for x
    x = 227,799.09/779.76
  6. Step 6: Final answer
    x = 292.14

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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.