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Finding the Fourth Proportional to 834.69, 1,249.28 and 463.92

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Solution

The fourth proportional to 834.69, 1,249.28 and 463.92 is: 694.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.69 : 1,249.28 = 463.92 : x
  2. Step 2: Convert to fraction form
    834.69/1,249.28 = 463.92/x
  3. Step 3: Cross multiply
    834.69x = 1,249.28 × 463.92
  4. Step 4: Simplify right side
    834.69x = 579,563.66
  5. Step 5: Solve for x
    x = 579,563.66/834.69
  6. Step 6: Final answer
    x = 694.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.