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Finding the Fourth Proportional to 827.82, 1,142.80 and 567.20

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Solution

The fourth proportional to 827.82, 1,142.80 and 567.20 is: 783.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.82 : 1,142.80 = 567.20 : x
  2. Step 2: Convert to fraction form
    827.82/1,142.80 = 567.20/x
  3. Step 3: Cross multiply
    827.82x = 1,142.80 × 567.20
  4. Step 4: Simplify right side
    827.82x = 648,196.16
  5. Step 5: Solve for x
    x = 648,196.16/827.82
  6. Step 6: Final answer
    x = 783.02

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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.