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Finding the Fourth Proportional to 662.16, 997.77 and 549.12

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Solution

The fourth proportional to 662.16, 997.77 and 549.12 is: 827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.16 : 997.77 = 549.12 : x
  2. Step 2: Convert to fraction form
    662.16/997.77 = 549.12/x
  3. Step 3: Cross multiply
    662.16x = 997.77 × 549.12
  4. Step 4: Simplify right side
    662.16x = 547,895.46
  5. Step 5: Solve for x
    x = 547,895.46/662.16
  6. Step 6: Final answer
    x = 827.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.