Home / 1,405.27-2,104.13-787.22

Finding the Fourth Proportional to 1,405.27, 2,104.13 and 787.22

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Solution

The fourth proportional to 1,405.27, 2,104.13 and 787.22 is: 1,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.27 : 2,104.13 = 787.22 : x
  2. Step 2: Convert to fraction form
    1,405.27/2,104.13 = 787.22/x
  3. Step 3: Cross multiply
    1,405.27x = 2,104.13 × 787.22
  4. Step 4: Simplify right side
    1,405.27x = 1,656,404.67
  5. Step 5: Solve for x
    x = 1,656,404.67/1,405.27
  6. Step 6: Final answer
    x = 1,178.71

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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.