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Finding the Fourth Proportional to 1,412.88, 1,949.88 and 823.46

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Solution

The fourth proportional to 1,412.88, 1,949.88 and 823.46 is: 1,136.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.88 : 1,949.88 = 823.46 : x
  2. Step 2: Convert to fraction form
    1,412.88/1,949.88 = 823.46/x
  3. Step 3: Cross multiply
    1,412.88x = 1,949.88 × 823.46
  4. Step 4: Simplify right side
    1,412.88x = 1,605,638.44
  5. Step 5: Solve for x
    x = 1,605,638.44/1,412.88
  6. Step 6: Final answer
    x = 1,136.43

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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.