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Finding the Fourth Proportional to 856.80, 1,286.01 and 466.98

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Solution

The fourth proportional to 856.80, 1,286.01 and 466.98 is: 700.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.80 : 1,286.01 = 466.98 : x
  2. Step 2: Convert to fraction form
    856.80/1,286.01 = 466.98/x
  3. Step 3: Cross multiply
    856.80x = 1,286.01 × 466.98
  4. Step 4: Simplify right side
    856.80x = 600,540.95
  5. Step 5: Solve for x
    x = 600,540.95/856.80
  6. Step 6: Final answer
    x = 700.91

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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.