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Finding the Fourth Proportional to 1,776.46, 2,664.15 and 680.74

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Solution

The fourth proportional to 1,776.46, 2,664.15 and 680.74 is: 1,020.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.46 : 2,664.15 = 680.74 : x
  2. Step 2: Convert to fraction form
    1,776.46/2,664.15 = 680.74/x
  3. Step 3: Cross multiply
    1,776.46x = 2,664.15 × 680.74
  4. Step 4: Simplify right side
    1,776.46x = 1,813,593.47
  5. Step 5: Solve for x
    x = 1,813,593.47/1,776.46
  6. Step 6: Final answer
    x = 1,020.90

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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.