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Finding the Fourth Proportional to 836.68, 1,255.70 and 466.56

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Solution

The fourth proportional to 836.68, 1,255.70 and 466.56 is: 700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.68 : 1,255.70 = 466.56 : x
  2. Step 2: Convert to fraction form
    836.68/1,255.70 = 466.56/x
  3. Step 3: Cross multiply
    836.68x = 1,255.70 × 466.56
  4. Step 4: Simplify right side
    836.68x = 585,860.56
  5. Step 5: Solve for x
    x = 585,860.56/836.68
  6. Step 6: Final answer
    x = 700.22

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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.