Home / 1,404.25-2,106.37-787.96

Finding the Fourth Proportional to 1,404.25, 2,106.37 and 787.96

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Solution

The fourth proportional to 1,404.25, 2,106.37 and 787.96 is: 1,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.25 : 2,106.37 = 787.96 : x
  2. Step 2: Convert to fraction form
    1,404.25/2,106.37 = 787.96/x
  3. Step 3: Cross multiply
    1,404.25x = 2,106.37 × 787.96
  4. Step 4: Simplify right side
    1,404.25x = 1,659,738.92
  5. Step 5: Solve for x
    x = 1,659,738.92/1,404.25
  6. Step 6: Final answer
    x = 1,181.94

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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.