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Finding the Fourth Proportional to 883.71, 1,218.92 and 650.43

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Solution

The fourth proportional to 883.71, 1,218.92 and 650.43 is: 897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.71 : 1,218.92 = 650.43 : x
  2. Step 2: Convert to fraction form
    883.71/1,218.92 = 650.43/x
  3. Step 3: Cross multiply
    883.71x = 1,218.92 × 650.43
  4. Step 4: Simplify right side
    883.71x = 792,818.88
  5. Step 5: Solve for x
    x = 792,818.88/883.71
  6. Step 6: Final answer
    x = 897.15

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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.