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Finding the Fourth Proportional to 1,097.02, 1,645.76 and 403.73

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Solution

The fourth proportional to 1,097.02, 1,645.76 and 403.73 is: 605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.02 : 1,645.76 = 403.73 : x
  2. Step 2: Convert to fraction form
    1,097.02/1,645.76 = 403.73/x
  3. Step 3: Cross multiply
    1,097.02x = 1,645.76 × 403.73
  4. Step 4: Simplify right side
    1,097.02x = 664,442.68
  5. Step 5: Solve for x
    x = 664,442.68/1,097.02
  6. Step 6: Final answer
    x = 605.68

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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.