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Finding the Fourth Proportional to 834.85, 1,152.01 and 461.76

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Solution

The fourth proportional to 834.85, 1,152.01 and 461.76 is: 637.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.85 : 1,152.01 = 461.76 : x
  2. Step 2: Convert to fraction form
    834.85/1,152.01 = 461.76/x
  3. Step 3: Cross multiply
    834.85x = 1,152.01 × 461.76
  4. Step 4: Simplify right side
    834.85x = 531,952.14
  5. Step 5: Solve for x
    x = 531,952.14/834.85
  6. Step 6: Final answer
    x = 637.18

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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.