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Finding the Fourth Proportional to 951.18, 1,419.89 and 822.01

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Solution

The fourth proportional to 951.18, 1,419.89 and 822.01 is: 1,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.18 : 1,419.89 = 822.01 : x
  2. Step 2: Convert to fraction form
    951.18/1,419.89 = 822.01/x
  3. Step 3: Cross multiply
    951.18x = 1,419.89 × 822.01
  4. Step 4: Simplify right side
    951.18x = 1,167,163.78
  5. Step 5: Solve for x
    x = 1,167,163.78/951.18
  6. Step 6: Final answer
    x = 1,227.07

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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.