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Finding the Fourth Proportional to 834, 1,151 and 466

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Solution

The fourth proportional to 834, 1,151 and 466 is: 643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    834 : 1,151 = 466 : x
  2. Step 2: Convert to fraction form
    834/1,151 = 466/x
  3. Step 3: Cross multiply
    834x = 1,151 × 466
  4. Step 4: Simplify right side
    834x = 536,366
  5. Step 5: Solve for x
    x = 536,366/834
  6. Step 6: Final answer
    x = 643.12

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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.