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Finding the Fourth Proportional to 1,044.82, 1,441.74 and 795.52

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Solution

The fourth proportional to 1,044.82, 1,441.74 and 795.52 is: 1,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.82 : 1,441.74 = 795.52 : x
  2. Step 2: Convert to fraction form
    1,044.82/1,441.74 = 795.52/x
  3. Step 3: Cross multiply
    1,044.82x = 1,441.74 × 795.52
  4. Step 4: Simplify right side
    1,044.82x = 1,146,933.00
  5. Step 5: Solve for x
    x = 1,146,933.00/1,044.82
  6. Step 6: Final answer
    x = 1,097.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.