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Finding the Fourth Proportional to 856.86, 1,284.09 and 674.61

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Solution

The fourth proportional to 856.86, 1,284.09 and 674.61 is: 1,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.86 : 1,284.09 = 674.61 : x
  2. Step 2: Convert to fraction form
    856.86/1,284.09 = 674.61/x
  3. Step 3: Cross multiply
    856.86x = 1,284.09 × 674.61
  4. Step 4: Simplify right side
    856.86x = 866,259.95
  5. Step 5: Solve for x
    x = 866,259.95/856.86
  6. Step 6: Final answer
    x = 1,010.97

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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.