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Finding the Fourth Proportional to 1,097.54, 1,646.34 and 367.12

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Solution

The fourth proportional to 1,097.54, 1,646.34 and 367.12 is: 550.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.54 : 1,646.34 = 367.12 : x
  2. Step 2: Convert to fraction form
    1,097.54/1,646.34 = 367.12/x
  3. Step 3: Cross multiply
    1,097.54x = 1,646.34 × 367.12
  4. Step 4: Simplify right side
    1,097.54x = 604,404.34
  5. Step 5: Solve for x
    x = 604,404.34/1,097.54
  6. Step 6: Final answer
    x = 550.69

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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.