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Finding the Fourth Proportional to 849.84, 1,274.40 and 411.06

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Solution

The fourth proportional to 849.84, 1,274.40 and 411.06 is: 616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.84 : 1,274.40 = 411.06 : x
  2. Step 2: Convert to fraction form
    849.84/1,274.40 = 411.06/x
  3. Step 3: Cross multiply
    849.84x = 1,274.40 × 411.06
  4. Step 4: Simplify right side
    849.84x = 523,854.86
  5. Step 5: Solve for x
    x = 523,854.86/849.84
  6. Step 6: Final answer
    x = 616.42

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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.