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Finding the Fourth Proportional to 827.58, 1,241.40 and 307.71

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Solution

The fourth proportional to 827.58, 1,241.40 and 307.71 is: 461.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.58 : 1,241.40 = 307.71 : x
  2. Step 2: Convert to fraction form
    827.58/1,241.40 = 307.71/x
  3. Step 3: Cross multiply
    827.58x = 1,241.40 × 307.71
  4. Step 4: Simplify right side
    827.58x = 381,989.66
  5. Step 5: Solve for x
    x = 381,989.66/827.58
  6. Step 6: Final answer
    x = 461.57

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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.