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Finding the Fourth Proportional to 1,382.81, 2,074.98 and 766.43

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Solution

The fourth proportional to 1,382.81, 2,074.98 and 766.43 is: 1,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.81 : 2,074.98 = 766.43 : x
  2. Step 2: Convert to fraction form
    1,382.81/2,074.98 = 766.43/x
  3. Step 3: Cross multiply
    1,382.81x = 2,074.98 × 766.43
  4. Step 4: Simplify right side
    1,382.81x = 1,590,334.56
  5. Step 5: Solve for x
    x = 1,590,334.56/1,382.81
  6. Step 6: Final answer
    x = 1,150.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.