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Finding the Fourth Proportional to 882.66, 1,217.07 and 567.97

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Solution

The fourth proportional to 882.66, 1,217.07 and 567.97 is: 783.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.66 : 1,217.07 = 567.97 : x
  2. Step 2: Convert to fraction form
    882.66/1,217.07 = 567.97/x
  3. Step 3: Cross multiply
    882.66x = 1,217.07 × 567.97
  4. Step 4: Simplify right side
    882.66x = 691,259.25
  5. Step 5: Solve for x
    x = 691,259.25/882.66
  6. Step 6: Final answer
    x = 783.15

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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.