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Finding the Fourth Proportional to 827.63, 1,142.09 and 454.59

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Solution

The fourth proportional to 827.63, 1,142.09 and 454.59 is: 627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,142.09 = 454.59 : x
  2. Step 2: Convert to fraction form
    827.63/1,142.09 = 454.59/x
  3. Step 3: Cross multiply
    827.63x = 1,142.09 × 454.59
  4. Step 4: Simplify right side
    827.63x = 519,180.42
  5. Step 5: Solve for x
    x = 519,180.42/827.63
  6. Step 6: Final answer
    x = 627.31

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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.