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Finding the Fourth Proportional to 1,229.40, 1,844.28 and 536.04

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Solution

The fourth proportional to 1,229.40, 1,844.28 and 536.04 is: 804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.40 : 1,844.28 = 536.04 : x
  2. Step 2: Convert to fraction form
    1,229.40/1,844.28 = 536.04/x
  3. Step 3: Cross multiply
    1,229.40x = 1,844.28 × 536.04
  4. Step 4: Simplify right side
    1,229.40x = 988,607.85
  5. Step 5: Solve for x
    x = 988,607.85/1,229.40
  6. Step 6: Final answer
    x = 804.14

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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.