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Finding the Fourth Proportional to 881.57, 1,216.02 and 567.25

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Solution

The fourth proportional to 881.57, 1,216.02 and 567.25 is: 782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.57 : 1,216.02 = 567.25 : x
  2. Step 2: Convert to fraction form
    881.57/1,216.02 = 567.25/x
  3. Step 3: Cross multiply
    881.57x = 1,216.02 × 567.25
  4. Step 4: Simplify right side
    881.57x = 689,780.96
  5. Step 5: Solve for x
    x = 689,780.96/881.57
  6. Step 6: Final answer
    x = 782.44

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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.