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Finding the Fourth Proportional to 881.73, 1,216.44 and 566.95

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Solution

The fourth proportional to 881.73, 1,216.44 and 566.95 is: 782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.73 : 1,216.44 = 566.95 : x
  2. Step 2: Convert to fraction form
    881.73/1,216.44 = 566.95/x
  3. Step 3: Cross multiply
    881.73x = 1,216.44 × 566.95
  4. Step 4: Simplify right side
    881.73x = 689,657.62
  5. Step 5: Solve for x
    x = 689,657.62/881.73
  6. Step 6: Final answer
    x = 782.17

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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.