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Finding the Fourth Proportional to 1,081.98, 1,492.21 and 667.26

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Solution

The fourth proportional to 1,081.98, 1,492.21 and 667.26 is: 920.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.98 : 1,492.21 = 667.26 : x
  2. Step 2: Convert to fraction form
    1,081.98/1,492.21 = 667.26/x
  3. Step 3: Cross multiply
    1,081.98x = 1,492.21 × 667.26
  4. Step 4: Simplify right side
    1,081.98x = 995,692.04
  5. Step 5: Solve for x
    x = 995,692.04/1,081.98
  6. Step 6: Final answer
    x = 920.25

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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.