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Finding the Fourth Proportional to 950.41, 1,418.98 and 820.27

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Solution

The fourth proportional to 950.41, 1,418.98 and 820.27 is: 1,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.41 : 1,418.98 = 820.27 : x
  2. Step 2: Convert to fraction form
    950.41/1,418.98 = 820.27/x
  3. Step 3: Cross multiply
    950.41x = 1,418.98 × 820.27
  4. Step 4: Simplify right side
    950.41x = 1,163,941.13
  5. Step 5: Solve for x
    x = 1,163,941.13/950.41
  6. Step 6: Final answer
    x = 1,224.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.