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Finding the Fourth Proportional to 775.44, 1,071.06 and 579.83

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Solution

The fourth proportional to 775.44, 1,071.06 and 579.83 is: 800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.44 : 1,071.06 = 579.83 : x
  2. Step 2: Convert to fraction form
    775.44/1,071.06 = 579.83/x
  3. Step 3: Cross multiply
    775.44x = 1,071.06 × 579.83
  4. Step 4: Simplify right side
    775.44x = 621,032.72
  5. Step 5: Solve for x
    x = 621,032.72/775.44
  6. Step 6: Final answer
    x = 800.88

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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.