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Finding the Fourth Proportional to 1,412.99, 1,949.46 and 823.41

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Solution

The fourth proportional to 1,412.99, 1,949.46 and 823.41 is: 1,136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.99 : 1,949.46 = 823.41 : x
  2. Step 2: Convert to fraction form
    1,412.99/1,949.46 = 823.41/x
  3. Step 3: Cross multiply
    1,412.99x = 1,949.46 × 823.41
  4. Step 4: Simplify right side
    1,412.99x = 1,605,204.86
  5. Step 5: Solve for x
    x = 1,605,204.86/1,412.99
  6. Step 6: Final answer
    x = 1,136.04

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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.