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Finding the Fourth Proportional to 827.80, 1,142.05 and 473.54

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Solution

The fourth proportional to 827.80, 1,142.05 and 473.54 is: 653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.80 : 1,142.05 = 473.54 : x
  2. Step 2: Convert to fraction form
    827.80/1,142.05 = 473.54/x
  3. Step 3: Cross multiply
    827.80x = 1,142.05 × 473.54
  4. Step 4: Simplify right side
    827.80x = 540,800.72
  5. Step 5: Solve for x
    x = 540,800.72/827.80
  6. Step 6: Final answer
    x = 653.30

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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.