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Finding the Fourth Proportional to 748.83, 1,123.05 and 286.37

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Solution

The fourth proportional to 748.83, 1,123.05 and 286.37 is: 429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.83 : 1,123.05 = 286.37 : x
  2. Step 2: Convert to fraction form
    748.83/1,123.05 = 286.37/x
  3. Step 3: Cross multiply
    748.83x = 1,123.05 × 286.37
  4. Step 4: Simplify right side
    748.83x = 321,607.83
  5. Step 5: Solve for x
    x = 321,607.83/748.83
  6. Step 6: Final answer
    x = 429.48

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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.