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Finding the Fourth Proportional to 1,293.91, 1,784.96 and 769.57

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Solution

The fourth proportional to 1,293.91, 1,784.96 and 769.57 is: 1,061.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.91 : 1,784.96 = 769.57 : x
  2. Step 2: Convert to fraction form
    1,293.91/1,784.96 = 769.57/x
  3. Step 3: Cross multiply
    1,293.91x = 1,784.96 × 769.57
  4. Step 4: Simplify right side
    1,293.91x = 1,373,651.67
  5. Step 5: Solve for x
    x = 1,373,651.67/1,293.91
  6. Step 6: Final answer
    x = 1,061.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.