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Finding the Fourth Proportional to 762.72, 1,143.12 and 416.22

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Solution

The fourth proportional to 762.72, 1,143.12 and 416.22 is: 623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.72 : 1,143.12 = 416.22 : x
  2. Step 2: Convert to fraction form
    762.72/1,143.12 = 416.22/x
  3. Step 3: Cross multiply
    762.72x = 1,143.12 × 416.22
  4. Step 4: Simplify right side
    762.72x = 475,789.41
  5. Step 5: Solve for x
    x = 475,789.41/762.72
  6. Step 6: Final answer
    x = 623.81

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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.