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Finding the Fourth Proportional to 1,227.04, 1,842.56 and 773.92

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Solution

The fourth proportional to 1,227.04, 1,842.56 and 773.92 is: 1,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.04 : 1,842.56 = 773.92 : x
  2. Step 2: Convert to fraction form
    1,227.04/1,842.56 = 773.92/x
  3. Step 3: Cross multiply
    1,227.04x = 1,842.56 × 773.92
  4. Step 4: Simplify right side
    1,227.04x = 1,425,994.04
  5. Step 5: Solve for x
    x = 1,425,994.04/1,227.04
  6. Step 6: Final answer
    x = 1,162.14

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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.