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Finding the Fourth Proportional to 882.14, 1,216.79 and 567.81

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Solution

The fourth proportional to 882.14, 1,216.79 and 567.81 is: 783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.14 : 1,216.79 = 567.81 : x
  2. Step 2: Convert to fraction form
    882.14/1,216.79 = 567.81/x
  3. Step 3: Cross multiply
    882.14x = 1,216.79 × 567.81
  4. Step 4: Simplify right side
    882.14x = 690,905.73
  5. Step 5: Solve for x
    x = 690,905.73/882.14
  6. Step 6: Final answer
    x = 783.22

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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.