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Finding the Fourth Proportional to 1,392.90, 1,922.62 and 803.82

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Solution

The fourth proportional to 1,392.90, 1,922.62 and 803.82 is: 1,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.90 : 1,922.62 = 803.82 : x
  2. Step 2: Convert to fraction form
    1,392.90/1,922.62 = 803.82/x
  3. Step 3: Cross multiply
    1,392.90x = 1,922.62 × 803.82
  4. Step 4: Simplify right side
    1,392.90x = 1,545,440.41
  5. Step 5: Solve for x
    x = 1,545,440.41/1,392.90
  6. Step 6: Final answer
    x = 1,109.51

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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.