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Finding the Fourth Proportional to 782.44, 1,174.38 and 417

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Solution

The fourth proportional to 782.44, 1,174.38 and 417 is: 625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.44 : 1,174.38 = 417 : x
  2. Step 2: Convert to fraction form
    782.44/1,174.38 = 417/x
  3. Step 3: Cross multiply
    782.44x = 1,174.38 × 417
  4. Step 4: Simplify right side
    782.44x = 489,716.46
  5. Step 5: Solve for x
    x = 489,716.46/782.44
  6. Step 6: Final answer
    x = 625.88

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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.