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Finding the Fourth Proportional to 911.03, 1,257.39 and 533.14

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Solution

The fourth proportional to 911.03, 1,257.39 and 533.14 is: 735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.03 : 1,257.39 = 533.14 : x
  2. Step 2: Convert to fraction form
    911.03/1,257.39 = 533.14/x
  3. Step 3: Cross multiply
    911.03x = 1,257.39 × 533.14
  4. Step 4: Simplify right side
    911.03x = 670,361.76
  5. Step 5: Solve for x
    x = 670,361.76/911.03
  6. Step 6: Final answer
    x = 735.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.