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Finding the Fourth Proportional to 1,185.13, 1,777.77 and 363.41

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Solution

The fourth proportional to 1,185.13, 1,777.77 and 363.41 is: 545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.13 : 1,777.77 = 363.41 : x
  2. Step 2: Convert to fraction form
    1,185.13/1,777.77 = 363.41/x
  3. Step 3: Cross multiply
    1,185.13x = 1,777.77 × 363.41
  4. Step 4: Simplify right side
    1,185.13x = 646,057.58
  5. Step 5: Solve for x
    x = 646,057.58/1,185.13
  6. Step 6: Final answer
    x = 545.14

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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.