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Finding the Fourth Proportional to 881.55, 1,217.56 and 586.31

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Solution

The fourth proportional to 881.55, 1,217.56 and 586.31 is: 809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.55 : 1,217.56 = 586.31 : x
  2. Step 2: Convert to fraction form
    881.55/1,217.56 = 586.31/x
  3. Step 3: Cross multiply
    881.55x = 1,217.56 × 586.31
  4. Step 4: Simplify right side
    881.55x = 713,867.60
  5. Step 5: Solve for x
    x = 713,867.60/881.55
  6. Step 6: Final answer
    x = 809.79

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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.