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Finding the Fourth Proportional to 834.91, 1,151.43 and 569.78

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Solution

The fourth proportional to 834.91, 1,151.43 and 569.78 is: 785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.91 : 1,151.43 = 569.78 : x
  2. Step 2: Convert to fraction form
    834.91/1,151.43 = 569.78/x
  3. Step 3: Cross multiply
    834.91x = 1,151.43 × 569.78
  4. Step 4: Simplify right side
    834.91x = 656,061.41
  5. Step 5: Solve for x
    x = 656,061.41/834.91
  6. Step 6: Final answer
    x = 785.79

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Why These Related Problems?

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