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Finding the Fourth Proportional to 1,074.62, 1,611.91 and 722.42

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Solution

The fourth proportional to 1,074.62, 1,611.91 and 722.42 is: 1,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.62 : 1,611.91 = 722.42 : x
  2. Step 2: Convert to fraction form
    1,074.62/1,611.91 = 722.42/x
  3. Step 3: Cross multiply
    1,074.62x = 1,611.91 × 722.42
  4. Step 4: Simplify right side
    1,074.62x = 1,164,476.02
  5. Step 5: Solve for x
    x = 1,164,476.02/1,074.62
  6. Step 6: Final answer
    x = 1,083.62

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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.