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Finding the Fourth Proportional to 1,078.30, 1,487.57 and 889.37

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Solution

The fourth proportional to 1,078.30, 1,487.57 and 889.37 is: 1,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.30 : 1,487.57 = 889.37 : x
  2. Step 2: Convert to fraction form
    1,078.30/1,487.57 = 889.37/x
  3. Step 3: Cross multiply
    1,078.30x = 1,487.57 × 889.37
  4. Step 4: Simplify right side
    1,078.30x = 1,322,993.82
  5. Step 5: Solve for x
    x = 1,322,993.82/1,078.30
  6. Step 6: Final answer
    x = 1,226.92

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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.