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Finding the Fourth Proportional to 1,044.83, 1,441.91 and 579.17

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Solution

The fourth proportional to 1,044.83, 1,441.91 and 579.17 is: 799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.83 : 1,441.91 = 579.17 : x
  2. Step 2: Convert to fraction form
    1,044.83/1,441.91 = 579.17/x
  3. Step 3: Cross multiply
    1,044.83x = 1,441.91 × 579.17
  4. Step 4: Simplify right side
    1,044.83x = 835,111.01
  5. Step 5: Solve for x
    x = 835,111.01/1,044.83
  6. Step 6: Final answer
    x = 799.28

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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.