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Finding the Fourth Proportional to 1,094.01, 1,640.96 and 363.59

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Solution

The fourth proportional to 1,094.01, 1,640.96 and 363.59 is: 545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.01 : 1,640.96 = 363.59 : x
  2. Step 2: Convert to fraction form
    1,094.01/1,640.96 = 363.59/x
  3. Step 3: Cross multiply
    1,094.01x = 1,640.96 × 363.59
  4. Step 4: Simplify right side
    1,094.01x = 596,634.14
  5. Step 5: Solve for x
    x = 596,634.14/1,094.01
  6. Step 6: Final answer
    x = 545.37

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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.