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Finding the Fourth Proportional to 1,044.82, 1,441.56 and 966.25

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Solution

The fourth proportional to 1,044.82, 1,441.56 and 966.25 is: 1,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.82 : 1,441.56 = 966.25 : x
  2. Step 2: Convert to fraction form
    1,044.82/1,441.56 = 966.25/x
  3. Step 3: Cross multiply
    1,044.82x = 1,441.56 × 966.25
  4. Step 4: Simplify right side
    1,044.82x = 1,392,907.35
  5. Step 5: Solve for x
    x = 1,392,907.35/1,044.82
  6. Step 6: Final answer
    x = 1,333.16

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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.