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Finding the Fourth Proportional to 1,185.43, 1,777.99 and 363.63

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Solution

The fourth proportional to 1,185.43, 1,777.99 and 363.63 is: 545.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.43 : 1,777.99 = 363.63 : x
  2. Step 2: Convert to fraction form
    1,185.43/1,777.99 = 363.63/x
  3. Step 3: Cross multiply
    1,185.43x = 1,777.99 × 363.63
  4. Step 4: Simplify right side
    1,185.43x = 646,535.18
  5. Step 5: Solve for x
    x = 646,535.18/1,185.43
  6. Step 6: Final answer
    x = 545.40

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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.