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Finding the Fourth Proportional to 780.12, 1,169.67 and 292.89

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Solution

The fourth proportional to 780.12, 1,169.67 and 292.89 is: 439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.12 : 1,169.67 = 292.89 : x
  2. Step 2: Convert to fraction form
    780.12/1,169.67 = 292.89/x
  3. Step 3: Cross multiply
    780.12x = 1,169.67 × 292.89
  4. Step 4: Simplify right side
    780.12x = 342,584.65
  5. Step 5: Solve for x
    x = 342,584.65/780.12
  6. Step 6: Final answer
    x = 439.14

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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.