Home / 1,193.31-1,789.97-1,164.51

Finding the Fourth Proportional to 1,193.31, 1,789.97 and 1,164.51

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Solution

The fourth proportional to 1,193.31, 1,789.97 and 1,164.51 is: 1,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.31 : 1,789.97 = 1,164.51 : x
  2. Step 2: Convert to fraction form
    1,193.31/1,789.97 = 1,164.51/x
  3. Step 3: Cross multiply
    1,193.31x = 1,789.97 × 1,164.51
  4. Step 4: Simplify right side
    1,193.31x = 2,084,437.96
  5. Step 5: Solve for x
    x = 2,084,437.96/1,193.31
  6. Step 6: Final answer
    x = 1,746.77

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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.