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Finding the Fourth Proportional to 881.90, 1,216.47 and 567.57

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Solution

The fourth proportional to 881.90, 1,216.47 and 567.57 is: 782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.90 : 1,216.47 = 567.57 : x
  2. Step 2: Convert to fraction form
    881.90/1,216.47 = 567.57/x
  3. Step 3: Cross multiply
    881.90x = 1,216.47 × 567.57
  4. Step 4: Simplify right side
    881.90x = 690,436.44
  5. Step 5: Solve for x
    x = 690,436.44/881.90
  6. Step 6: Final answer
    x = 782.90

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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.