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Finding the Fourth Proportional to 883.82, 1,217.94 and 634.70

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Solution

The fourth proportional to 883.82, 1,217.94 and 634.70 is: 874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.82 : 1,217.94 = 634.70 : x
  2. Step 2: Convert to fraction form
    883.82/1,217.94 = 634.70/x
  3. Step 3: Cross multiply
    883.82x = 1,217.94 × 634.70
  4. Step 4: Simplify right side
    883.82x = 773,026.52
  5. Step 5: Solve for x
    x = 773,026.52/883.82
  6. Step 6: Final answer
    x = 874.64

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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.