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Finding the Fourth Proportional to 922.37, 1,272.83 and 549.26

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Solution

The fourth proportional to 922.37, 1,272.83 and 549.26 is: 757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.37 : 1,272.83 = 549.26 : x
  2. Step 2: Convert to fraction form
    922.37/1,272.83 = 549.26/x
  3. Step 3: Cross multiply
    922.37x = 1,272.83 × 549.26
  4. Step 4: Simplify right side
    922.37x = 699,105.50
  5. Step 5: Solve for x
    x = 699,105.50/922.37
  6. Step 6: Final answer
    x = 757.95

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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.