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Finding the Fourth Proportional to 977.69, 1,469.41 and 814.21

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Solution

The fourth proportional to 977.69, 1,469.41 and 814.21 is: 1,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.69 : 1,469.41 = 814.21 : x
  2. Step 2: Convert to fraction form
    977.69/1,469.41 = 814.21/x
  3. Step 3: Cross multiply
    977.69x = 1,469.41 × 814.21
  4. Step 4: Simplify right side
    977.69x = 1,196,402.61
  5. Step 5: Solve for x
    x = 1,196,402.61/977.69
  6. Step 6: Final answer
    x = 1,223.70

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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.