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Finding the Fourth Proportional to 881.31, 1,215.06 and 566.01

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Solution

The fourth proportional to 881.31, 1,215.06 and 566.01 is: 780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.31 : 1,215.06 = 566.01 : x
  2. Step 2: Convert to fraction form
    881.31/1,215.06 = 566.01/x
  3. Step 3: Cross multiply
    881.31x = 1,215.06 × 566.01
  4. Step 4: Simplify right side
    881.31x = 687,736.11
  5. Step 5: Solve for x
    x = 687,736.11/881.31
  6. Step 6: Final answer
    x = 780.36

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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.