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Finding the Fourth Proportional to 881.81, 1,217.91 and 586.56

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Solution

The fourth proportional to 881.81, 1,217.91 and 586.56 is: 810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.81 : 1,217.91 = 586.56 : x
  2. Step 2: Convert to fraction form
    881.81/1,217.91 = 586.56/x
  3. Step 3: Cross multiply
    881.81x = 1,217.91 × 586.56
  4. Step 4: Simplify right side
    881.81x = 714,377.29
  5. Step 5: Solve for x
    x = 714,377.29/881.81
  6. Step 6: Final answer
    x = 810.13

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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.