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Finding the Fourth Proportional to 782.33, 1,173.69 and 416.88

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Solution

The fourth proportional to 782.33, 1,173.69 and 416.88 is: 625.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.33 : 1,173.69 = 416.88 : x
  2. Step 2: Convert to fraction form
    782.33/1,173.69 = 416.88/x
  3. Step 3: Cross multiply
    782.33x = 1,173.69 × 416.88
  4. Step 4: Simplify right side
    782.33x = 489,287.89
  5. Step 5: Solve for x
    x = 489,287.89/782.33
  6. Step 6: Final answer
    x = 625.43

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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.