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Finding the Fourth Proportional to 746.09, 1,119.44 and 334.95

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Solution

The fourth proportional to 746.09, 1,119.44 and 334.95 is: 502.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.09 : 1,119.44 = 334.95 : x
  2. Step 2: Convert to fraction form
    746.09/1,119.44 = 334.95/x
  3. Step 3: Cross multiply
    746.09x = 1,119.44 × 334.95
  4. Step 4: Simplify right side
    746.09x = 374,956.43
  5. Step 5: Solve for x
    x = 374,956.43/746.09
  6. Step 6: Final answer
    x = 502.56

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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.