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Finding the Fourth Proportional to 744.91, 1,028.06 and 450.20

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Solution

The fourth proportional to 744.91, 1,028.06 and 450.20 is: 621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.91 : 1,028.06 = 450.20 : x
  2. Step 2: Convert to fraction form
    744.91/1,028.06 = 450.20/x
  3. Step 3: Cross multiply
    744.91x = 1,028.06 × 450.20
  4. Step 4: Simplify right side
    744.91x = 462,836.31
  5. Step 5: Solve for x
    x = 462,836.31/744.91
  6. Step 6: Final answer
    x = 621.33

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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.