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Finding the Fourth Proportional to 834.24, 1,151.38 and 498.34

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Solution

The fourth proportional to 834.24, 1,151.38 and 498.34 is: 687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.24 : 1,151.38 = 498.34 : x
  2. Step 2: Convert to fraction form
    834.24/1,151.38 = 498.34/x
  3. Step 3: Cross multiply
    834.24x = 1,151.38 × 498.34
  4. Step 4: Simplify right side
    834.24x = 573,778.71
  5. Step 5: Solve for x
    x = 573,778.71/834.24
  6. Step 6: Final answer
    x = 687.79

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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.