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Finding the Fourth Proportional to 862.16, 1,292.32 and 627.32

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Solution

The fourth proportional to 862.16, 1,292.32 and 627.32 is: 940.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.16 : 1,292.32 = 627.32 : x
  2. Step 2: Convert to fraction form
    862.16/1,292.32 = 627.32/x
  3. Step 3: Cross multiply
    862.16x = 1,292.32 × 627.32
  4. Step 4: Simplify right side
    862.16x = 810,698.18
  5. Step 5: Solve for x
    x = 810,698.18/862.16
  6. Step 6: Final answer
    x = 940.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.