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Finding the Fourth Proportional to 964.78, 1,447.75 and 416.97

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Solution

The fourth proportional to 964.78, 1,447.75 and 416.97 is: 625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.78 : 1,447.75 = 416.97 : x
  2. Step 2: Convert to fraction form
    964.78/1,447.75 = 416.97/x
  3. Step 3: Cross multiply
    964.78x = 1,447.75 × 416.97
  4. Step 4: Simplify right side
    964.78x = 603,668.32
  5. Step 5: Solve for x
    x = 603,668.32/964.78
  6. Step 6: Final answer
    x = 625.71

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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.