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Finding the Fourth Proportional to 1,150.57, 1,716.95 and 1,027.51

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Solution

The fourth proportional to 1,150.57, 1,716.95 and 1,027.51 is: 1,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.57 : 1,716.95 = 1,027.51 : x
  2. Step 2: Convert to fraction form
    1,150.57/1,716.95 = 1,027.51/x
  3. Step 3: Cross multiply
    1,150.57x = 1,716.95 × 1,027.51
  4. Step 4: Simplify right side
    1,150.57x = 1,764,183.29
  5. Step 5: Solve for x
    x = 1,764,183.29/1,150.57
  6. Step 6: Final answer
    x = 1,533.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.