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Finding the Fourth Proportional to 781.69, 1,172.75 and 416.38

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Solution

The fourth proportional to 781.69, 1,172.75 and 416.38 is: 624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.69 : 1,172.75 = 416.38 : x
  2. Step 2: Convert to fraction form
    781.69/1,172.75 = 416.38/x
  3. Step 3: Cross multiply
    781.69x = 1,172.75 × 416.38
  4. Step 4: Simplify right side
    781.69x = 488,309.65
  5. Step 5: Solve for x
    x = 488,309.65/781.69
  6. Step 6: Final answer
    x = 624.68

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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.