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Finding the Fourth Proportional to 881.67, 1,217.73 and 586.43

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Solution

The fourth proportional to 881.67, 1,217.73 and 586.43 is: 809.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.67 : 1,217.73 = 586.43 : x
  2. Step 2: Convert to fraction form
    881.67/1,217.73 = 586.43/x
  3. Step 3: Cross multiply
    881.67x = 1,217.73 × 586.43
  4. Step 4: Simplify right side
    881.67x = 714,113.40
  5. Step 5: Solve for x
    x = 714,113.40/881.67
  6. Step 6: Final answer
    x = 809.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.