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Finding the Fourth Proportional to 775.54, 1,069.89 and 495.64

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Solution

The fourth proportional to 775.54, 1,069.89 and 495.64 is: 683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.54 : 1,069.89 = 495.64 : x
  2. Step 2: Convert to fraction form
    775.54/1,069.89 = 495.64/x
  3. Step 3: Cross multiply
    775.54x = 1,069.89 × 495.64
  4. Step 4: Simplify right side
    775.54x = 530,272.45
  5. Step 5: Solve for x
    x = 530,272.45/775.54
  6. Step 6: Final answer
    x = 683.75

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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.