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Finding the Fourth Proportional to 835.16, 1,151.82 and 724.44

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Solution

The fourth proportional to 835.16, 1,151.82 and 724.44 is: 999.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.16 : 1,151.82 = 724.44 : x
  2. Step 2: Convert to fraction form
    835.16/1,151.82 = 724.44/x
  3. Step 3: Cross multiply
    835.16x = 1,151.82 × 724.44
  4. Step 4: Simplify right side
    835.16x = 834,428.80
  5. Step 5: Solve for x
    x = 834,428.80/835.16
  6. Step 6: Final answer
    x = 999.12

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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.