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Finding the Fourth Proportional to 882.38, 1,218.26 and 567.79

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Solution

The fourth proportional to 882.38, 1,218.26 and 567.79 is: 783.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.38 : 1,218.26 = 567.79 : x
  2. Step 2: Convert to fraction form
    882.38/1,218.26 = 567.79/x
  3. Step 3: Cross multiply
    882.38x = 1,218.26 × 567.79
  4. Step 4: Simplify right side
    882.38x = 691,715.85
  5. Step 5: Solve for x
    x = 691,715.85/882.38
  6. Step 6: Final answer
    x = 783.92

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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.