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Finding the Fourth Proportional to 1,094.82, 1,641.19 and 363.87

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Solution

The fourth proportional to 1,094.82, 1,641.19 and 363.87 is: 545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.82 : 1,641.19 = 363.87 : x
  2. Step 2: Convert to fraction form
    1,094.82/1,641.19 = 363.87/x
  3. Step 3: Cross multiply
    1,094.82x = 1,641.19 × 363.87
  4. Step 4: Simplify right side
    1,094.82x = 597,173.94
  5. Step 5: Solve for x
    x = 597,173.94/1,094.82
  6. Step 6: Final answer
    x = 545.46

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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.