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Finding the Fourth Proportional to 849.81, 1,274.98 and 411.08

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Solution

The fourth proportional to 849.81, 1,274.98 and 411.08 is: 616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.81 : 1,274.98 = 411.08 : x
  2. Step 2: Convert to fraction form
    849.81/1,274.98 = 411.08/x
  3. Step 3: Cross multiply
    849.81x = 1,274.98 × 411.08
  4. Step 4: Simplify right side
    849.81x = 524,118.78
  5. Step 5: Solve for x
    x = 524,118.78/849.81
  6. Step 6: Final answer
    x = 616.75

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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.