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Finding the Fourth Proportional to 1,097.83, 1,647.20 and 367.46

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Solution

The fourth proportional to 1,097.83, 1,647.20 and 367.46 is: 551.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.83 : 1,647.20 = 367.46 : x
  2. Step 2: Convert to fraction form
    1,097.83/1,647.20 = 367.46/x
  3. Step 3: Cross multiply
    1,097.83x = 1,647.20 × 367.46
  4. Step 4: Simplify right side
    1,097.83x = 605,282.05
  5. Step 5: Solve for x
    x = 605,282.05/1,097.83
  6. Step 6: Final answer
    x = 551.34

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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.