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Finding the Fourth Proportional to 748.67, 1,122.80 and 286.36

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Solution

The fourth proportional to 748.67, 1,122.80 and 286.36 is: 429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.67 : 1,122.80 = 286.36 : x
  2. Step 2: Convert to fraction form
    748.67/1,122.80 = 286.36/x
  3. Step 3: Cross multiply
    748.67x = 1,122.80 × 286.36
  4. Step 4: Simplify right side
    748.67x = 321,520.77
  5. Step 5: Solve for x
    x = 321,520.77/748.67
  6. Step 6: Final answer
    x = 429.46

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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.