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Finding the Fourth Proportional to 1,203.80, 1,805.56 and 816.28

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Solution

The fourth proportional to 1,203.80, 1,805.56 and 816.28 is: 1,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.80 : 1,805.56 = 816.28 : x
  2. Step 2: Convert to fraction form
    1,203.80/1,805.56 = 816.28/x
  3. Step 3: Cross multiply
    1,203.80x = 1,805.56 × 816.28
  4. Step 4: Simplify right side
    1,203.80x = 1,473,850.71
  5. Step 5: Solve for x
    x = 1,473,850.71/1,203.80
  6. Step 6: Final answer
    x = 1,224.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.