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Finding the Fourth Proportional to 849.48, 1,274.42 and 416.13

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Solution

The fourth proportional to 849.48, 1,274.42 and 416.13 is: 624.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.48 : 1,274.42 = 416.13 : x
  2. Step 2: Convert to fraction form
    849.48/1,274.42 = 416.13/x
  3. Step 3: Cross multiply
    849.48x = 1,274.42 × 416.13
  4. Step 4: Simplify right side
    849.48x = 530,324.39
  5. Step 5: Solve for x
    x = 530,324.39/849.48
  6. Step 6: Final answer
    x = 624.29

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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.