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Finding the Fourth Proportional to 1,097.43, 1,645.85 and 548.87

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Solution

The fourth proportional to 1,097.43, 1,645.85 and 548.87 is: 823.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.43 : 1,645.85 = 548.87 : x
  2. Step 2: Convert to fraction form
    1,097.43/1,645.85 = 548.87/x
  3. Step 3: Cross multiply
    1,097.43x = 1,645.85 × 548.87
  4. Step 4: Simplify right side
    1,097.43x = 903,346.72
  5. Step 5: Solve for x
    x = 903,346.72/1,097.43
  6. Step 6: Final answer
    x = 823.15

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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.