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Finding the Fourth Proportional to 746.54, 1,029.75 and 481.32

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Solution

The fourth proportional to 746.54, 1,029.75 and 481.32 is: 663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.54 : 1,029.75 = 481.32 : x
  2. Step 2: Convert to fraction form
    746.54/1,029.75 = 481.32/x
  3. Step 3: Cross multiply
    746.54x = 1,029.75 × 481.32
  4. Step 4: Simplify right side
    746.54x = 495,637.47
  5. Step 5: Solve for x
    x = 495,637.47/746.54
  6. Step 6: Final answer
    x = 663.91

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Why These Related Problems?

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