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Finding the Fourth Proportional to 779.18, 1,167.96 and 292.02

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Solution

The fourth proportional to 779.18, 1,167.96 and 292.02 is: 437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.18 : 1,167.96 = 292.02 : x
  2. Step 2: Convert to fraction form
    779.18/1,167.96 = 292.02/x
  3. Step 3: Cross multiply
    779.18x = 1,167.96 × 292.02
  4. Step 4: Simplify right side
    779.18x = 341,067.68
  5. Step 5: Solve for x
    x = 341,067.68/779.18
  6. Step 6: Final answer
    x = 437.73

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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.