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Finding the Fourth Proportional to 1,401.32, 1,934.28 and 812

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Solution

The fourth proportional to 1,401.32, 1,934.28 and 812 is: 1,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.32 : 1,934.28 = 812 : x
  2. Step 2: Convert to fraction form
    1,401.32/1,934.28 = 812/x
  3. Step 3: Cross multiply
    1,401.32x = 1,934.28 × 812
  4. Step 4: Simplify right side
    1,401.32x = 1,570,635.36
  5. Step 5: Solve for x
    x = 1,570,635.36/1,401.32
  6. Step 6: Final answer
    x = 1,120.83

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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.