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Finding the Fourth Proportional to 1,203.56, 1,805.22 and 838.16

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Solution

The fourth proportional to 1,203.56, 1,805.22 and 838.16 is: 1,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.56 : 1,805.22 = 838.16 : x
  2. Step 2: Convert to fraction form
    1,203.56/1,805.22 = 838.16/x
  3. Step 3: Cross multiply
    1,203.56x = 1,805.22 × 838.16
  4. Step 4: Simplify right side
    1,203.56x = 1,513,063.20
  5. Step 5: Solve for x
    x = 1,513,063.20/1,203.56
  6. Step 6: Final answer
    x = 1,257.16

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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.