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Finding the Fourth Proportional to 748.70, 1,122.24 and 286.28

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Solution

The fourth proportional to 748.70, 1,122.24 and 286.28 is: 429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.70 : 1,122.24 = 286.28 : x
  2. Step 2: Convert to fraction form
    748.70/1,122.24 = 286.28/x
  3. Step 3: Cross multiply
    748.70x = 1,122.24 × 286.28
  4. Step 4: Simplify right side
    748.70x = 321,272.39
  5. Step 5: Solve for x
    x = 321,272.39/748.70
  6. Step 6: Final answer
    x = 429.11

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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.