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Finding the Fourth Proportional to 881.88, 1,217.06 and 646.57

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Solution

The fourth proportional to 881.88, 1,217.06 and 646.57 is: 892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.88 : 1,217.06 = 646.57 : x
  2. Step 2: Convert to fraction form
    881.88/1,217.06 = 646.57/x
  3. Step 3: Cross multiply
    881.88x = 1,217.06 × 646.57
  4. Step 4: Simplify right side
    881.88x = 786,914.48
  5. Step 5: Solve for x
    x = 786,914.48/881.88
  6. Step 6: Final answer
    x = 892.31

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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.