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Finding the Fourth Proportional to 1,094.38, 1,641.58 and 363.89

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Solution

The fourth proportional to 1,094.38, 1,641.58 and 363.89 is: 545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.38 : 1,641.58 = 363.89 : x
  2. Step 2: Convert to fraction form
    1,094.38/1,641.58 = 363.89/x
  3. Step 3: Cross multiply
    1,094.38x = 1,641.58 × 363.89
  4. Step 4: Simplify right side
    1,094.38x = 597,357.74
  5. Step 5: Solve for x
    x = 597,357.74/1,094.38
  6. Step 6: Final answer
    x = 545.84

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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.