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Finding the Fourth Proportional to 746.66, 1,120.31 and 399.91

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Solution

The fourth proportional to 746.66, 1,120.31 and 399.91 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.66 : 1,120.31 = 399.91 : x
  2. Step 2: Convert to fraction form
    746.66/1,120.31 = 399.91/x
  3. Step 3: Cross multiply
    746.66x = 1,120.31 × 399.91
  4. Step 4: Simplify right side
    746.66x = 448,023.17
  5. Step 5: Solve for x
    x = 448,023.17/746.66
  6. Step 6: Final answer
    x = 600.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.