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Finding the Fourth Proportional to 749.44, 1,123.20 and 533.44

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Solution

The fourth proportional to 749.44, 1,123.20 and 533.44 is: 799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.44 : 1,123.20 = 533.44 : x
  2. Step 2: Convert to fraction form
    749.44/1,123.20 = 533.44/x
  3. Step 3: Cross multiply
    749.44x = 1,123.20 × 533.44
  4. Step 4: Simplify right side
    749.44x = 599,159.81
  5. Step 5: Solve for x
    x = 599,159.81/749.44
  6. Step 6: Final answer
    x = 799.48

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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.