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Finding the Fourth Proportional to 1,393.40, 1,922.09 and 803.82

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Solution

The fourth proportional to 1,393.40, 1,922.09 and 803.82 is: 1,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.40 : 1,922.09 = 803.82 : x
  2. Step 2: Convert to fraction form
    1,393.40/1,922.09 = 803.82/x
  3. Step 3: Cross multiply
    1,393.40x = 1,922.09 × 803.82
  4. Step 4: Simplify right side
    1,393.40x = 1,545,010.36
  5. Step 5: Solve for x
    x = 1,545,010.36/1,393.40
  6. Step 6: Final answer
    x = 1,108.81

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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.