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Finding the Fourth Proportional to 825.95, 1,138.62 and 629.12

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Solution

The fourth proportional to 825.95, 1,138.62 and 629.12 is: 867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.95 : 1,138.62 = 629.12 : x
  2. Step 2: Convert to fraction form
    825.95/1,138.62 = 629.12/x
  3. Step 3: Cross multiply
    825.95x = 1,138.62 × 629.12
  4. Step 4: Simplify right side
    825.95x = 716,333.82
  5. Step 5: Solve for x
    x = 716,333.82/825.95
  6. Step 6: Final answer
    x = 867.28

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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.