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Finding the Fourth Proportional to 834.51, 1,251.98 and 347.46

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Solution

The fourth proportional to 834.51, 1,251.98 and 347.46 is: 521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.51 : 1,251.98 = 347.46 : x
  2. Step 2: Convert to fraction form
    834.51/1,251.98 = 347.46/x
  3. Step 3: Cross multiply
    834.51x = 1,251.98 × 347.46
  4. Step 4: Simplify right side
    834.51x = 435,011.23
  5. Step 5: Solve for x
    x = 435,011.23/834.51
  6. Step 6: Final answer
    x = 521.28

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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.