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Finding the Fourth Proportional to 549.36, 822.78 and 545.34

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Solution

The fourth proportional to 549.36, 822.78 and 545.34 is: 816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.36 : 822.78 = 545.34 : x
  2. Step 2: Convert to fraction form
    549.36/822.78 = 545.34/x
  3. Step 3: Cross multiply
    549.36x = 822.78 × 545.34
  4. Step 4: Simplify right side
    549.36x = 448,694.85
  5. Step 5: Solve for x
    x = 448,694.85/549.36
  6. Step 6: Final answer
    x = 816.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.