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Finding the Fourth Proportional to 849.14, 1,274.13 and 410.76

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Solution

The fourth proportional to 849.14, 1,274.13 and 410.76 is: 616.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.14 : 1,274.13 = 410.76 : x
  2. Step 2: Convert to fraction form
    849.14/1,274.13 = 410.76/x
  3. Step 3: Cross multiply
    849.14x = 1,274.13 × 410.76
  4. Step 4: Simplify right side
    849.14x = 523,361.64
  5. Step 5: Solve for x
    x = 523,361.64/849.14
  6. Step 6: Final answer
    x = 616.34

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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.