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Finding the Fourth Proportional to 834.83, 1,152.05 and 461.80

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Solution

The fourth proportional to 834.83, 1,152.05 and 461.80 is: 637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.83 : 1,152.05 = 461.80 : x
  2. Step 2: Convert to fraction form
    834.83/1,152.05 = 461.80/x
  3. Step 3: Cross multiply
    834.83x = 1,152.05 × 461.80
  4. Step 4: Simplify right side
    834.83x = 532,016.69
  5. Step 5: Solve for x
    x = 532,016.69/834.83
  6. Step 6: Final answer
    x = 637.28

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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.