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Finding the Fourth Proportional to 834.74, 1,151.83 and 461.69

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Solution

The fourth proportional to 834.74, 1,151.83 and 461.69 is: 637.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.74 : 1,151.83 = 461.69 : x
  2. Step 2: Convert to fraction form
    834.74/1,151.83 = 461.69/x
  3. Step 3: Cross multiply
    834.74x = 1,151.83 × 461.69
  4. Step 4: Simplify right side
    834.74x = 531,790.12
  5. Step 5: Solve for x
    x = 531,790.12/834.74
  6. Step 6: Final answer
    x = 637.08

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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.