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Finding the Fourth Proportional to 834.84, 1,252.01 and 347.78

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Solution

The fourth proportional to 834.84, 1,252.01 and 347.78 is: 521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.84 : 1,252.01 = 347.78 : x
  2. Step 2: Convert to fraction form
    834.84/1,252.01 = 347.78/x
  3. Step 3: Cross multiply
    834.84x = 1,252.01 × 347.78
  4. Step 4: Simplify right side
    834.84x = 435,424.04
  5. Step 5: Solve for x
    x = 435,424.04/834.84
  6. Step 6: Final answer
    x = 521.57

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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.