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Finding the Fourth Proportional to 858.11, 1,286.12 and 467.19

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Solution

The fourth proportional to 858.11, 1,286.12 and 467.19 is: 700.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.11 : 1,286.12 = 467.19 : x
  2. Step 2: Convert to fraction form
    858.11/1,286.12 = 467.19/x
  3. Step 3: Cross multiply
    858.11x = 1,286.12 × 467.19
  4. Step 4: Simplify right side
    858.11x = 600,862.40
  5. Step 5: Solve for x
    x = 600,862.40/858.11
  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.