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Finding the Fourth Proportional to 1,203.88, 1,802.14 and 792.20

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Solution

The fourth proportional to 1,203.88, 1,802.14 and 792.20 is: 1,185.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.88 : 1,802.14 = 792.20 : x
  2. Step 2: Convert to fraction form
    1,203.88/1,802.14 = 792.20/x
  3. Step 3: Cross multiply
    1,203.88x = 1,802.14 × 792.20
  4. Step 4: Simplify right side
    1,203.88x = 1,427,655.31
  5. Step 5: Solve for x
    x = 1,427,655.31/1,203.88
  6. Step 6: Final answer
    x = 1,185.88

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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.