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Finding the Fourth Proportional to 739.91, 1,020.89 and 452.38

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Solution

The fourth proportional to 739.91, 1,020.89 and 452.38 is: 624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.91 : 1,020.89 = 452.38 : x
  2. Step 2: Convert to fraction form
    739.91/1,020.89 = 452.38/x
  3. Step 3: Cross multiply
    739.91x = 1,020.89 × 452.38
  4. Step 4: Simplify right side
    739.91x = 461,830.51
  5. Step 5: Solve for x
    x = 461,830.51/739.91
  6. Step 6: Final answer
    x = 624.18

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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.