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Finding the Fourth Proportional to 775.02, 1,069.74 and 480.12

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Solution

The fourth proportional to 775.02, 1,069.74 and 480.12 is: 662.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.02 : 1,069.74 = 480.12 : x
  2. Step 2: Convert to fraction form
    775.02/1,069.74 = 480.12/x
  3. Step 3: Cross multiply
    775.02x = 1,069.74 × 480.12
  4. Step 4: Simplify right side
    775.02x = 513,603.57
  5. Step 5: Solve for x
    x = 513,603.57/775.02
  6. Step 6: Final answer
    x = 662.70

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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.