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Finding the Fourth Proportional to 827.54, 1,241.47 and 314.50

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Solution

The fourth proportional to 827.54, 1,241.47 and 314.50 is: 471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.54 : 1,241.47 = 314.50 : x
  2. Step 2: Convert to fraction form
    827.54/1,241.47 = 314.50/x
  3. Step 3: Cross multiply
    827.54x = 1,241.47 × 314.50
  4. Step 4: Simplify right side
    827.54x = 390,442.32
  5. Step 5: Solve for x
    x = 390,442.32/827.54
  6. Step 6: Final answer
    x = 471.81

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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.