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Finding the Fourth Proportional to 1,243.07, 1,862.78 and 549.11

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Solution

The fourth proportional to 1,243.07, 1,862.78 and 549.11 is: 822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.07 : 1,862.78 = 549.11 : x
  2. Step 2: Convert to fraction form
    1,243.07/1,862.78 = 549.11/x
  3. Step 3: Cross multiply
    1,243.07x = 1,862.78 × 549.11
  4. Step 4: Simplify right side
    1,243.07x = 1,022,859.07
  5. Step 5: Solve for x
    x = 1,022,859.07/1,243.07
  6. Step 6: Final answer
    x = 822.85

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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.