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Finding the Fourth Proportional to 874.69, 1,312.49 and 812.73

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Solution

The fourth proportional to 874.69, 1,312.49 and 812.73 is: 1,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.69 : 1,312.49 = 812.73 : x
  2. Step 2: Convert to fraction form
    874.69/1,312.49 = 812.73/x
  3. Step 3: Cross multiply
    874.69x = 1,312.49 × 812.73
  4. Step 4: Simplify right side
    874.69x = 1,066,689.37
  5. Step 5: Solve for x
    x = 1,066,689.37/874.69
  6. Step 6: Final answer
    x = 1,219.51

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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.