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Finding the Fourth Proportional to 1,154.32, 1,731.56 and 363.57

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Solution

The fourth proportional to 1,154.32, 1,731.56 and 363.57 is: 545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.32 : 1,731.56 = 363.57 : x
  2. Step 2: Convert to fraction form
    1,154.32/1,731.56 = 363.57/x
  3. Step 3: Cross multiply
    1,154.32x = 1,731.56 × 363.57
  4. Step 4: Simplify right side
    1,154.32x = 629,543.27
  5. Step 5: Solve for x
    x = 629,543.27/1,154.32
  6. Step 6: Final answer
    x = 545.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.