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Finding the Fourth Proportional to 1,420.46, 1,960.74 and 823.22

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Solution

The fourth proportional to 1,420.46, 1,960.74 and 823.22 is: 1,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.46 : 1,960.74 = 823.22 : x
  2. Step 2: Convert to fraction form
    1,420.46/1,960.74 = 823.22/x
  3. Step 3: Cross multiply
    1,420.46x = 1,960.74 × 823.22
  4. Step 4: Simplify right side
    1,420.46x = 1,614,115.48
  5. Step 5: Solve for x
    x = 1,614,115.48/1,420.46
  6. Step 6: Final answer
    x = 1,136.33

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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.