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Finding the Fourth Proportional to 1,392.91, 1,922.22 and 803.44

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Solution

The fourth proportional to 1,392.91, 1,922.22 and 803.44 is: 1,108.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.91 : 1,922.22 = 803.44 : x
  2. Step 2: Convert to fraction form
    1,392.91/1,922.22 = 803.44/x
  3. Step 3: Cross multiply
    1,392.91x = 1,922.22 × 803.44
  4. Step 4: Simplify right side
    1,392.91x = 1,544,384.42
  5. Step 5: Solve for x
    x = 1,544,384.42/1,392.91
  6. Step 6: Final answer
    x = 1,108.75

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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.