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Finding the Fourth Proportional to 834.03, 1,251.05 and 314.01

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Solution

The fourth proportional to 834.03, 1,251.05 and 314.01 is: 471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.03 : 1,251.05 = 314.01 : x
  2. Step 2: Convert to fraction form
    834.03/1,251.05 = 314.01/x
  3. Step 3: Cross multiply
    834.03x = 1,251.05 × 314.01
  4. Step 4: Simplify right side
    834.03x = 392,840.64
  5. Step 5: Solve for x
    x = 392,840.64/834.03
  6. Step 6: Final answer
    x = 471.02

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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.