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Finding the Fourth Proportional to 1,227.04, 1,843.26 and 740.38

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Solution

The fourth proportional to 1,227.04, 1,843.26 and 740.38 is: 1,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.04 : 1,843.26 = 740.38 : x
  2. Step 2: Convert to fraction form
    1,227.04/1,843.26 = 740.38/x
  3. Step 3: Cross multiply
    1,227.04x = 1,843.26 × 740.38
  4. Step 4: Simplify right side
    1,227.04x = 1,364,712.84
  5. Step 5: Solve for x
    x = 1,364,712.84/1,227.04
  6. Step 6: Final answer
    x = 1,112.20

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