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Finding the Fourth Proportional to 1,094.57, 1,641.25 and 363.75

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Solution

The fourth proportional to 1,094.57, 1,641.25 and 363.75 is: 545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.57 : 1,641.25 = 363.75 : x
  2. Step 2: Convert to fraction form
    1,094.57/1,641.25 = 363.75/x
  3. Step 3: Cross multiply
    1,094.57x = 1,641.25 × 363.75
  4. Step 4: Simplify right side
    1,094.57x = 597,004.69
  5. Step 5: Solve for x
    x = 597,004.69/1,094.57
  6. Step 6: Final answer
    x = 545.42

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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.