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Finding the Fourth Proportional to 1,405.97, 1,940.48 and 816.85

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Solution

The fourth proportional to 1,405.97, 1,940.48 and 816.85 is: 1,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.97 : 1,940.48 = 816.85 : x
  2. Step 2: Convert to fraction form
    1,405.97/1,940.48 = 816.85/x
  3. Step 3: Cross multiply
    1,405.97x = 1,940.48 × 816.85
  4. Step 4: Simplify right side
    1,405.97x = 1,585,084.79
  5. Step 5: Solve for x
    x = 1,585,084.79/1,405.97
  6. Step 6: Final answer
    x = 1,127.39

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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.