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Finding the Fourth Proportional to 813.69, 1,122.17 and 689.67

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Solution

The fourth proportional to 813.69, 1,122.17 and 689.67 is: 951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.69 : 1,122.17 = 689.67 : x
  2. Step 2: Convert to fraction form
    813.69/1,122.17 = 689.67/x
  3. Step 3: Cross multiply
    813.69x = 1,122.17 × 689.67
  4. Step 4: Simplify right side
    813.69x = 773,923.54
  5. Step 5: Solve for x
    x = 773,923.54/813.69
  6. Step 6: Final answer
    x = 951.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.