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Finding the Fourth Proportional to 746.37, 1,029.87 and 466.56

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Solution

The fourth proportional to 746.37, 1,029.87 and 466.56 is: 643.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.37 : 1,029.87 = 466.56 : x
  2. Step 2: Convert to fraction form
    746.37/1,029.87 = 466.56/x
  3. Step 3: Cross multiply
    746.37x = 1,029.87 × 466.56
  4. Step 4: Simplify right side
    746.37x = 480,496.15
  5. Step 5: Solve for x
    x = 480,496.15/746.37
  6. Step 6: Final answer
    x = 643.78

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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.