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Finding the Fourth Proportional to 1,087.17, 1,629.41 and 618.62

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Solution

The fourth proportional to 1,087.17, 1,629.41 and 618.62 is: 927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.17 : 1,629.41 = 618.62 : x
  2. Step 2: Convert to fraction form
    1,087.17/1,629.41 = 618.62/x
  3. Step 3: Cross multiply
    1,087.17x = 1,629.41 × 618.62
  4. Step 4: Simplify right side
    1,087.17x = 1,007,980.48
  5. Step 5: Solve for x
    x = 1,007,980.48/1,087.17
  6. Step 6: Final answer
    x = 927.16

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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.