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Finding the Fourth Proportional to 640.14, 959.49 and 574.98

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Solution

The fourth proportional to 640.14, 959.49 and 574.98 is: 861.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.14 : 959.49 = 574.98 : x
  2. Step 2: Convert to fraction form
    640.14/959.49 = 574.98/x
  3. Step 3: Cross multiply
    640.14x = 959.49 × 574.98
  4. Step 4: Simplify right side
    640.14x = 551,687.56
  5. Step 5: Solve for x
    x = 551,687.56/640.14
  6. Step 6: Final answer
    x = 861.82

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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.