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Finding the Fourth Proportional to 1,185.48, 1,778.31 and 363.76

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Solution

The fourth proportional to 1,185.48, 1,778.31 and 363.76 is: 545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.48 : 1,778.31 = 363.76 : x
  2. Step 2: Convert to fraction form
    1,185.48/1,778.31 = 363.76/x
  3. Step 3: Cross multiply
    1,185.48x = 1,778.31 × 363.76
  4. Step 4: Simplify right side
    1,185.48x = 646,873.60
  5. Step 5: Solve for x
    x = 646,873.60/1,185.48
  6. Step 6: Final answer
    x = 545.66

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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.