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Finding the Fourth Proportional to 749.92, 1,123.97 and 338.95

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Solution

The fourth proportional to 749.92, 1,123.97 and 338.95 is: 508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.92 : 1,123.97 = 338.95 : x
  2. Step 2: Convert to fraction form
    749.92/1,123.97 = 338.95/x
  3. Step 3: Cross multiply
    749.92x = 1,123.97 × 338.95
  4. Step 4: Simplify right side
    749.92x = 380,967.94
  5. Step 5: Solve for x
    x = 380,967.94/749.92
  6. Step 6: Final answer
    x = 508.01

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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.