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Finding the Fourth Proportional to 836.06, 1,254.08 and 316.04

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Solution

The fourth proportional to 836.06, 1,254.08 and 316.04 is: 474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.06 : 1,254.08 = 316.04 : x
  2. Step 2: Convert to fraction form
    836.06/1,254.08 = 316.04/x
  3. Step 3: Cross multiply
    836.06x = 1,254.08 × 316.04
  4. Step 4: Simplify right side
    836.06x = 396,333.96
  5. Step 5: Solve for x
    x = 396,333.96/836.06
  6. Step 6: Final answer
    x = 474.05

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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.