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Finding the Fourth Proportional to 834.55, 1,252.02 and 347.33

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Solution

The fourth proportional to 834.55, 1,252.02 and 347.33 is: 521.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.55 : 1,252.02 = 347.33 : x
  2. Step 2: Convert to fraction form
    834.55/1,252.02 = 347.33/x
  3. Step 3: Cross multiply
    834.55x = 1,252.02 × 347.33
  4. Step 4: Simplify right side
    834.55x = 434,864.11
  5. Step 5: Solve for x
    x = 434,864.11/834.55
  6. Step 6: Final answer
    x = 521.08

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