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Finding the Fourth Proportional to 874.71, 1,312.32 and 380.82

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Solution

The fourth proportional to 874.71, 1,312.32 and 380.82 is: 571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.71 : 1,312.32 = 380.82 : x
  2. Step 2: Convert to fraction form
    874.71/1,312.32 = 380.82/x
  3. Step 3: Cross multiply
    874.71x = 1,312.32 × 380.82
  4. Step 4: Simplify right side
    874.71x = 499,757.70
  5. Step 5: Solve for x
    x = 499,757.70/874.71
  6. Step 6: Final answer
    x = 571.34

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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.