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Finding the Fourth Proportional to 1,085.74, 1,628.13 and 674.86

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Solution

The fourth proportional to 1,085.74, 1,628.13 and 674.86 is: 1,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.74 : 1,628.13 = 674.86 : x
  2. Step 2: Convert to fraction form
    1,085.74/1,628.13 = 674.86/x
  3. Step 3: Cross multiply
    1,085.74x = 1,628.13 × 674.86
  4. Step 4: Simplify right side
    1,085.74x = 1,098,759.81
  5. Step 5: Solve for x
    x = 1,098,759.81/1,085.74
  6. Step 6: Final answer
    x = 1,011.99

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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.