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Finding the Fourth Proportional to 1,119.46, 1,544.87 and 622.14

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Solution

The fourth proportional to 1,119.46, 1,544.87 and 622.14 is: 858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.46 : 1,544.87 = 622.14 : x
  2. Step 2: Convert to fraction form
    1,119.46/1,544.87 = 622.14/x
  3. Step 3: Cross multiply
    1,119.46x = 1,544.87 × 622.14
  4. Step 4: Simplify right side
    1,119.46x = 961,125.42
  5. Step 5: Solve for x
    x = 961,125.42/1,119.46
  6. Step 6: Final answer
    x = 858.56

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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.