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Finding the Fourth Proportional to 950.18, 1,418.39 and 821.01

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Solution

The fourth proportional to 950.18, 1,418.39 and 821.01 is: 1,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.18 : 1,418.39 = 821.01 : x
  2. Step 2: Convert to fraction form
    950.18/1,418.39 = 821.01/x
  3. Step 3: Cross multiply
    950.18x = 1,418.39 × 821.01
  4. Step 4: Simplify right side
    950.18x = 1,164,514.43
  5. Step 5: Solve for x
    x = 1,164,514.43/950.18
  6. Step 6: Final answer
    x = 1,225.57

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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.