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Finding the Fourth Proportional to 834.71, 1,151.90 and 461.70

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Solution

The fourth proportional to 834.71, 1,151.90 and 461.70 is: 637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.71 : 1,151.90 = 461.70 : x
  2. Step 2: Convert to fraction form
    834.71/1,151.90 = 461.70/x
  3. Step 3: Cross multiply
    834.71x = 1,151.90 × 461.70
  4. Step 4: Simplify right side
    834.71x = 531,827.44
  5. Step 5: Solve for x
    x = 531,827.44/834.71
  6. Step 6: Final answer
    x = 637.14

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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.