Home / 1,186.02-1,778.26-493.17

Finding the Fourth Proportional to 1,186.02, 1,778.26 and 493.17

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Solution

The fourth proportional to 1,186.02, 1,778.26 and 493.17 is: 739.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.02 : 1,778.26 = 493.17 : x
  2. Step 2: Convert to fraction form
    1,186.02/1,778.26 = 493.17/x
  3. Step 3: Cross multiply
    1,186.02x = 1,778.26 × 493.17
  4. Step 4: Simplify right side
    1,186.02x = 876,984.48
  5. Step 5: Solve for x
    x = 876,984.48/1,186.02
  6. Step 6: Final answer
    x = 739.43

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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.