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Finding the Fourth Proportional to 1,396.85, 2,092.06 and 810.39

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Solution

The fourth proportional to 1,396.85, 2,092.06 and 810.39 is: 1,213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.85 : 2,092.06 = 810.39 : x
  2. Step 2: Convert to fraction form
    1,396.85/2,092.06 = 810.39/x
  3. Step 3: Cross multiply
    1,396.85x = 2,092.06 × 810.39
  4. Step 4: Simplify right side
    1,396.85x = 1,695,384.50
  5. Step 5: Solve for x
    x = 1,695,384.50/1,396.85
  6. Step 6: Final answer
    x = 1,213.72

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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.