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Finding the Fourth Proportional to 856.75, 1,285.13 and 344.11

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Solution

The fourth proportional to 856.75, 1,285.13 and 344.11 is: 516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.75 : 1,285.13 = 344.11 : x
  2. Step 2: Convert to fraction form
    856.75/1,285.13 = 344.11/x
  3. Step 3: Cross multiply
    856.75x = 1,285.13 × 344.11
  4. Step 4: Simplify right side
    856.75x = 442,226.08
  5. Step 5: Solve for x
    x = 442,226.08/856.75
  6. Step 6: Final answer
    x = 516.17

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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.