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Finding the Fourth Proportional to 768.45, 1,150.19 and 416.57

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Solution

The fourth proportional to 768.45, 1,150.19 and 416.57 is: 623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.45 : 1,150.19 = 416.57 : x
  2. Step 2: Convert to fraction form
    768.45/1,150.19 = 416.57/x
  3. Step 3: Cross multiply
    768.45x = 1,150.19 × 416.57
  4. Step 4: Simplify right side
    768.45x = 479,132.57
  5. Step 5: Solve for x
    x = 479,132.57/768.45
  6. Step 6: Final answer
    x = 623.51

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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.