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Finding the Fourth Proportional to 977.73, 1,469.39 and 814.22

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Solution

The fourth proportional to 977.73, 1,469.39 and 814.22 is: 1,223.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.73 : 1,469.39 = 814.22 : x
  2. Step 2: Convert to fraction form
    977.73/1,469.39 = 814.22/x
  3. Step 3: Cross multiply
    977.73x = 1,469.39 × 814.22
  4. Step 4: Simplify right side
    977.73x = 1,196,395.31
  5. Step 5: Solve for x
    x = 1,196,395.31/977.73
  6. Step 6: Final answer
    x = 1,223.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.