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Finding the Fourth Proportional to 1,074.14, 1,609.97 and 488.26

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Solution

The fourth proportional to 1,074.14, 1,609.97 and 488.26 is: 731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.14 : 1,609.97 = 488.26 : x
  2. Step 2: Convert to fraction form
    1,074.14/1,609.97 = 488.26/x
  3. Step 3: Cross multiply
    1,074.14x = 1,609.97 × 488.26
  4. Step 4: Simplify right side
    1,074.14x = 786,077.49
  5. Step 5: Solve for x
    x = 786,077.49/1,074.14
  6. Step 6: Final answer
    x = 731.82

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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.