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Finding the Fourth Proportional to 739.25, 1,020.19 and 407.70

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Solution

The fourth proportional to 739.25, 1,020.19 and 407.70 is: 562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.25 : 1,020.19 = 407.70 : x
  2. Step 2: Convert to fraction form
    739.25/1,020.19 = 407.70/x
  3. Step 3: Cross multiply
    739.25x = 1,020.19 × 407.70
  4. Step 4: Simplify right side
    739.25x = 415,930.44
  5. Step 5: Solve for x
    x = 415,930.44/739.25
  6. Step 6: Final answer
    x = 562.64

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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.