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Finding the Fourth Proportional to 881.87, 1,216.62 and 567.07

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Solution

The fourth proportional to 881.87, 1,216.62 and 567.07 is: 782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.87 : 1,216.62 = 567.07 : x
  2. Step 2: Convert to fraction form
    881.87/1,216.62 = 567.07/x
  3. Step 3: Cross multiply
    881.87x = 1,216.62 × 567.07
  4. Step 4: Simplify right side
    881.87x = 689,905.66
  5. Step 5: Solve for x
    x = 689,905.66/881.87
  6. Step 6: Final answer
    x = 782.33

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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.