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Finding the Fourth Proportional to 834.34, 1,251.64 and 423.06

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Solution

The fourth proportional to 834.34, 1,251.64 and 423.06 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.34 : 1,251.64 = 423.06 : x
  2. Step 2: Convert to fraction form
    834.34/1,251.64 = 423.06/x
  3. Step 3: Cross multiply
    834.34x = 1,251.64 × 423.06
  4. Step 4: Simplify right side
    834.34x = 529,518.82
  5. Step 5: Solve for x
    x = 529,518.82/834.34
  6. Step 6: Final answer
    x = 634.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.