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Finding the Fourth Proportional to 1,106.87, 1,660.30 and 326.99

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Solution

The fourth proportional to 1,106.87, 1,660.30 and 326.99 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.87 : 1,660.30 = 326.99 : x
  2. Step 2: Convert to fraction form
    1,106.87/1,660.30 = 326.99/x
  3. Step 3: Cross multiply
    1,106.87x = 1,660.30 × 326.99
  4. Step 4: Simplify right side
    1,106.87x = 542,895.49
  5. Step 5: Solve for x
    x = 542,895.49/1,106.87
  6. Step 6: Final answer
    x = 490.48

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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.