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Finding the Fourth Proportional to 1,151.97, 1,589.72 and 627.99

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Solution

The fourth proportional to 1,151.97, 1,589.72 and 627.99 is: 866.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.97 : 1,589.72 = 627.99 : x
  2. Step 2: Convert to fraction form
    1,151.97/1,589.72 = 627.99/x
  3. Step 3: Cross multiply
    1,151.97x = 1,589.72 × 627.99
  4. Step 4: Simplify right side
    1,151.97x = 998,325.12
  5. Step 5: Solve for x
    x = 998,325.12/1,151.97
  6. Step 6: Final answer
    x = 866.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.