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Finding the Fourth Proportional to 1,399.54, 2,098.80 and 1,008.37

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Solution

The fourth proportional to 1,399.54, 2,098.80 and 1,008.37 is: 1,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.54 : 2,098.80 = 1,008.37 : x
  2. Step 2: Convert to fraction form
    1,399.54/2,098.80 = 1,008.37/x
  3. Step 3: Cross multiply
    1,399.54x = 2,098.80 × 1,008.37
  4. Step 4: Simplify right side
    1,399.54x = 2,116,366.96
  5. Step 5: Solve for x
    x = 2,116,366.96/1,399.54
  6. Step 6: Final answer
    x = 1,512.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.