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Finding the Fourth Proportional to 834.96, 1,152.17 and 461.94

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Solution

The fourth proportional to 834.96, 1,152.17 and 461.94 is: 637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.96 : 1,152.17 = 461.94 : x
  2. Step 2: Convert to fraction form
    834.96/1,152.17 = 461.94/x
  3. Step 3: Cross multiply
    834.96x = 1,152.17 × 461.94
  4. Step 4: Simplify right side
    834.96x = 532,235.14
  5. Step 5: Solve for x
    x = 532,235.14/834.96
  6. Step 6: Final answer
    x = 637.44

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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.