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Finding the Fourth Proportional to 1,074.23, 1,611.31 and 343.79

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Solution

The fourth proportional to 1,074.23, 1,611.31 and 343.79 is: 515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.23 : 1,611.31 = 343.79 : x
  2. Step 2: Convert to fraction form
    1,074.23/1,611.31 = 343.79/x
  3. Step 3: Cross multiply
    1,074.23x = 1,611.31 × 343.79
  4. Step 4: Simplify right side
    1,074.23x = 553,952.26
  5. Step 5: Solve for x
    x = 553,952.26/1,074.23
  6. Step 6: Final answer
    x = 515.67

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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.