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Finding the Fourth Proportional to 1,097.14, 1,645.70 and 327.64

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Solution

The fourth proportional to 1,097.14, 1,645.70 and 327.64 is: 491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.14 : 1,645.70 = 327.64 : x
  2. Step 2: Convert to fraction form
    1,097.14/1,645.70 = 327.64/x
  3. Step 3: Cross multiply
    1,097.14x = 1,645.70 × 327.64
  4. Step 4: Simplify right side
    1,097.14x = 539,197.15
  5. Step 5: Solve for x
    x = 539,197.15/1,097.14
  6. Step 6: Final answer
    x = 491.46

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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.