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Finding the Fourth Proportional to 881.58, 1,321.35 and 588.73

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Solution

The fourth proportional to 881.58, 1,321.35 and 588.73 is: 882.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.58 : 1,321.35 = 588.73 : x
  2. Step 2: Convert to fraction form
    881.58/1,321.35 = 588.73/x
  3. Step 3: Cross multiply
    881.58x = 1,321.35 × 588.73
  4. Step 4: Simplify right side
    881.58x = 777,918.39
  5. Step 5: Solve for x
    x = 777,918.39/881.58
  6. Step 6: Final answer
    x = 882.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.