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Finding the Fourth Proportional to 849.48, 1,274.24 and 410.76

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Solution

The fourth proportional to 849.48, 1,274.24 and 410.76 is: 616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.48 : 1,274.24 = 410.76 : x
  2. Step 2: Convert to fraction form
    849.48/1,274.24 = 410.76/x
  3. Step 3: Cross multiply
    849.48x = 1,274.24 × 410.76
  4. Step 4: Simplify right side
    849.48x = 523,406.82
  5. Step 5: Solve for x
    x = 523,406.82/849.48
  6. Step 6: Final answer
    x = 616.15

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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.