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Finding the Fourth Proportional to 834.83, 1,152.09 and 461.82

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Solution

The fourth proportional to 834.83, 1,152.09 and 461.82 is: 637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.83 : 1,152.09 = 461.82 : x
  2. Step 2: Convert to fraction form
    834.83/1,152.09 = 461.82/x
  3. Step 3: Cross multiply
    834.83x = 1,152.09 × 461.82
  4. Step 4: Simplify right side
    834.83x = 532,058.20
  5. Step 5: Solve for x
    x = 532,058.20/834.83
  6. Step 6: Final answer
    x = 637.33

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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.