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Finding the Fourth Proportional to 746.70, 1,030.32 and 481.20

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Solution

The fourth proportional to 746.70, 1,030.32 and 481.20 is: 663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.70 : 1,030.32 = 481.20 : x
  2. Step 2: Convert to fraction form
    746.70/1,030.32 = 481.20/x
  3. Step 3: Cross multiply
    746.70x = 1,030.32 × 481.20
  4. Step 4: Simplify right side
    746.70x = 495,789.98
  5. Step 5: Solve for x
    x = 495,789.98/746.70
  6. Step 6: Final answer
    x = 663.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.