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Finding the Fourth Proportional to 1,096.97, 1,645.46 and 327.53

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Solution

The fourth proportional to 1,096.97, 1,645.46 and 327.53 is: 491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.97 : 1,645.46 = 327.53 : x
  2. Step 2: Convert to fraction form
    1,096.97/1,645.46 = 327.53/x
  3. Step 3: Cross multiply
    1,096.97x = 1,645.46 × 327.53
  4. Step 4: Simplify right side
    1,096.97x = 538,937.51
  5. Step 5: Solve for x
    x = 538,937.51/1,096.97
  6. Step 6: Final answer
    x = 491.30

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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.