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Finding the Fourth Proportional to 779.75, 1,169.29 and 389.61

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Solution

The fourth proportional to 779.75, 1,169.29 and 389.61 is: 584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.75 : 1,169.29 = 389.61 : x
  2. Step 2: Convert to fraction form
    779.75/1,169.29 = 389.61/x
  3. Step 3: Cross multiply
    779.75x = 1,169.29 × 389.61
  4. Step 4: Simplify right side
    779.75x = 455,567.08
  5. Step 5: Solve for x
    x = 455,567.08/779.75
  6. Step 6: Final answer
    x = 584.25

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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.