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Finding the Fourth Proportional to 874.77, 1,311.17 and 387.69

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Solution

The fourth proportional to 874.77, 1,311.17 and 387.69 is: 581.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.77 : 1,311.17 = 387.69 : x
  2. Step 2: Convert to fraction form
    874.77/1,311.17 = 387.69/x
  3. Step 3: Cross multiply
    874.77x = 1,311.17 × 387.69
  4. Step 4: Simplify right side
    874.77x = 508,325.56
  5. Step 5: Solve for x
    x = 508,325.56/874.77
  6. Step 6: Final answer
    x = 581.10

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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.