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Finding the Fourth Proportional to 1,227.04, 1,840.86 and 533.54

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Solution

The fourth proportional to 1,227.04, 1,840.86 and 533.54 is: 800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.04 : 1,840.86 = 533.54 : x
  2. Step 2: Convert to fraction form
    1,227.04/1,840.86 = 533.54/x
  3. Step 3: Cross multiply
    1,227.04x = 1,840.86 × 533.54
  4. Step 4: Simplify right side
    1,227.04x = 982,172.44
  5. Step 5: Solve for x
    x = 982,172.44/1,227.04
  6. Step 6: Final answer
    x = 800.44

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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.