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Finding the Fourth Proportional to 827.93, 1,142.12 and 562.39

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Solution

The fourth proportional to 827.93, 1,142.12 and 562.39 is: 775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.93 : 1,142.12 = 562.39 : x
  2. Step 2: Convert to fraction form
    827.93/1,142.12 = 562.39/x
  3. Step 3: Cross multiply
    827.93x = 1,142.12 × 562.39
  4. Step 4: Simplify right side
    827.93x = 642,308.34
  5. Step 5: Solve for x
    x = 642,308.34/827.93
  6. Step 6: Final answer
    x = 775.80

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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.