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Finding the Fourth Proportional to 1,369.74, 1,891.17 and 873.21

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Solution

The fourth proportional to 1,369.74, 1,891.17 and 873.21 is: 1,205.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.74 : 1,891.17 = 873.21 : x
  2. Step 2: Convert to fraction form
    1,369.74/1,891.17 = 873.21/x
  3. Step 3: Cross multiply
    1,369.74x = 1,891.17 × 873.21
  4. Step 4: Simplify right side
    1,369.74x = 1,651,388.56
  5. Step 5: Solve for x
    x = 1,651,388.56/1,369.74
  6. Step 6: Final answer
    x = 1,205.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.