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Finding the Fourth Proportional to 1,341, 1,850.04 and 816.84

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Solution

The fourth proportional to 1,341, 1,850.04 and 816.84 is: 1,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341 : 1,850.04 = 816.84 : x
  2. Step 2: Convert to fraction form
    1,341/1,850.04 = 816.84/x
  3. Step 3: Cross multiply
    1,341x = 1,850.04 × 816.84
  4. Step 4: Simplify right side
    1,341x = 1,511,186.67
  5. Step 5: Solve for x
    x = 1,511,186.67/1,341
  6. Step 6: Final answer
    x = 1,126.91

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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.