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Finding the Fourth Proportional to 746.70, 1,120.18 and 330.36

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Solution

The fourth proportional to 746.70, 1,120.18 and 330.36 is: 495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.70 : 1,120.18 = 330.36 : x
  2. Step 2: Convert to fraction form
    746.70/1,120.18 = 330.36/x
  3. Step 3: Cross multiply
    746.70x = 1,120.18 × 330.36
  4. Step 4: Simplify right side
    746.70x = 370,062.66
  5. Step 5: Solve for x
    x = 370,062.66/746.70
  6. Step 6: Final answer
    x = 495.60

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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.