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Finding the Fourth Proportional to 827.67, 1,142.20 and 454.64

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Solution

The fourth proportional to 827.67, 1,142.20 and 454.64 is: 627.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.67 : 1,142.20 = 454.64 : x
  2. Step 2: Convert to fraction form
    827.67/1,142.20 = 454.64/x
  3. Step 3: Cross multiply
    827.67x = 1,142.20 × 454.64
  4. Step 4: Simplify right side
    827.67x = 519,289.81
  5. Step 5: Solve for x
    x = 519,289.81/827.67
  6. Step 6: Final answer
    x = 627.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.