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Finding the Fourth Proportional to 1,355.25, 2,032.88 and 329.25

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Solution

The fourth proportional to 1,355.25, 2,032.88 and 329.25 is: 493.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.25 : 2,032.88 = 329.25 : x
  2. Step 2: Convert to fraction form
    1,355.25/2,032.88 = 329.25/x
  3. Step 3: Cross multiply
    1,355.25x = 2,032.88 × 329.25
  4. Step 4: Simplify right side
    1,355.25x = 669,324.09
  5. Step 5: Solve for x
    x = 669,324.09/1,355.25
  6. Step 6: Final answer
    x = 493.88

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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.