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Finding the Fourth Proportional to 1,097.90, 1,647.08 and 367.53

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Solution

The fourth proportional to 1,097.90, 1,647.08 and 367.53 is: 551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.90 : 1,647.08 = 367.53 : x
  2. Step 2: Convert to fraction form
    1,097.90/1,647.08 = 367.53/x
  3. Step 3: Cross multiply
    1,097.90x = 1,647.08 × 367.53
  4. Step 4: Simplify right side
    1,097.90x = 605,349.47
  5. Step 5: Solve for x
    x = 605,349.47/1,097.90
  6. Step 6: Final answer
    x = 551.37

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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.