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Finding the Fourth Proportional to 834.91, 1,152.14 and 461.91

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Solution

The fourth proportional to 834.91, 1,152.14 and 461.91 is: 637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.91 : 1,152.14 = 461.91 : x
  2. Step 2: Convert to fraction form
    834.91/1,152.14 = 461.91/x
  3. Step 3: Cross multiply
    834.91x = 1,152.14 × 461.91
  4. Step 4: Simplify right side
    834.91x = 532,179.23
  5. Step 5: Solve for x
    x = 532,179.23/834.91
  6. Step 6: Final answer
    x = 637.41

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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.