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Finding the Fourth Proportional to 834.41, 1,151.64 and 498.39

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Solution

The fourth proportional to 834.41, 1,151.64 and 498.39 is: 687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.41 : 1,151.64 = 498.39 : x
  2. Step 2: Convert to fraction form
    834.41/1,151.64 = 498.39/x
  3. Step 3: Cross multiply
    834.41x = 1,151.64 × 498.39
  4. Step 4: Simplify right side
    834.41x = 573,965.86
  5. Step 5: Solve for x
    x = 573,965.86/834.41
  6. Step 6: Final answer
    x = 687.87

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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.