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Finding the Fourth Proportional to 881.75, 1,217.32 and 583.01

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Solution

The fourth proportional to 881.75, 1,217.32 and 583.01 is: 804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.75 : 1,217.32 = 583.01 : x
  2. Step 2: Convert to fraction form
    881.75/1,217.32 = 583.01/x
  3. Step 3: Cross multiply
    881.75x = 1,217.32 × 583.01
  4. Step 4: Simplify right side
    881.75x = 709,709.73
  5. Step 5: Solve for x
    x = 709,709.73/881.75
  6. Step 6: Final answer
    x = 804.89

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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.