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Finding the Fourth Proportional to 779.86, 1,169.63 and 292.90

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Solution

The fourth proportional to 779.86, 1,169.63 and 292.90 is: 439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.86 : 1,169.63 = 292.90 : x
  2. Step 2: Convert to fraction form
    779.86/1,169.63 = 292.90/x
  3. Step 3: Cross multiply
    779.86x = 1,169.63 × 292.90
  4. Step 4: Simplify right side
    779.86x = 342,584.63
  5. Step 5: Solve for x
    x = 342,584.63/779.86
  6. Step 6: Final answer
    x = 439.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.