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Finding the Fourth Proportional to 775.96, 1,069.14 and 579.16

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Solution

The fourth proportional to 775.96, 1,069.14 and 579.16 is: 797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.96 : 1,069.14 = 579.16 : x
  2. Step 2: Convert to fraction form
    775.96/1,069.14 = 579.16/x
  3. Step 3: Cross multiply
    775.96x = 1,069.14 × 579.16
  4. Step 4: Simplify right side
    775.96x = 619,203.12
  5. Step 5: Solve for x
    x = 619,203.12/775.96
  6. Step 6: Final answer
    x = 797.98

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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.