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Finding the Fourth Proportional to 739.29, 1,020.16 and 407.73

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Solution

The fourth proportional to 739.29, 1,020.16 and 407.73 is: 562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.29 : 1,020.16 = 407.73 : x
  2. Step 2: Convert to fraction form
    739.29/1,020.16 = 407.73/x
  3. Step 3: Cross multiply
    739.29x = 1,020.16 × 407.73
  4. Step 4: Simplify right side
    739.29x = 415,949.84
  5. Step 5: Solve for x
    x = 415,949.84/739.29
  6. Step 6: Final answer
    x = 562.63

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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.