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Finding the Fourth Proportional to 827.68, 1,241.66 and 416.74

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Solution

The fourth proportional to 827.68, 1,241.66 and 416.74 is: 625.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.68 : 1,241.66 = 416.74 : x
  2. Step 2: Convert to fraction form
    827.68/1,241.66 = 416.74/x
  3. Step 3: Cross multiply
    827.68x = 1,241.66 × 416.74
  4. Step 4: Simplify right side
    827.68x = 517,449.39
  5. Step 5: Solve for x
    x = 517,449.39/827.68
  6. Step 6: Final answer
    x = 625.18

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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.