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Finding the Fourth Proportional to 874.19, 1,311.74 and 812.23

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Solution

The fourth proportional to 874.19, 1,311.74 and 812.23 is: 1,218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.19 : 1,311.74 = 812.23 : x
  2. Step 2: Convert to fraction form
    874.19/1,311.74 = 812.23/x
  3. Step 3: Cross multiply
    874.19x = 1,311.74 × 812.23
  4. Step 4: Simplify right side
    874.19x = 1,065,423.96
  5. Step 5: Solve for x
    x = 1,065,423.96/874.19
  6. Step 6: Final answer
    x = 1,218.76

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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.