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Finding the Fourth Proportional to 922.80, 1,272.81 and 549.49

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Solution

The fourth proportional to 922.80, 1,272.81 and 549.49 is: 757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.80 : 1,272.81 = 549.49 : x
  2. Step 2: Convert to fraction form
    922.80/1,272.81 = 549.49/x
  3. Step 3: Cross multiply
    922.80x = 1,272.81 × 549.49
  4. Step 4: Simplify right side
    922.80x = 699,401.21
  5. Step 5: Solve for x
    x = 699,401.21/922.80
  6. Step 6: Final answer
    x = 757.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.