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Finding the Fourth Proportional to 834.29, 1,151.81 and 742.02

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Solution

The fourth proportional to 834.29, 1,151.81 and 742.02 is: 1,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.29 : 1,151.81 = 742.02 : x
  2. Step 2: Convert to fraction form
    834.29/1,151.81 = 742.02/x
  3. Step 3: Cross multiply
    834.29x = 1,151.81 × 742.02
  4. Step 4: Simplify right side
    834.29x = 854,666.06
  5. Step 5: Solve for x
    x = 854,666.06/834.29
  6. Step 6: Final answer
    x = 1,024.42

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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.