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Finding the Fourth Proportional to 1,353.36, 2,030.03 and 327.36

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Solution

The fourth proportional to 1,353.36, 2,030.03 and 327.36 is: 491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.36 : 2,030.03 = 327.36 : x
  2. Step 2: Convert to fraction form
    1,353.36/2,030.03 = 327.36/x
  3. Step 3: Cross multiply
    1,353.36x = 2,030.03 × 327.36
  4. Step 4: Simplify right side
    1,353.36x = 664,550.62
  5. Step 5: Solve for x
    x = 664,550.62/1,353.36
  6. Step 6: Final answer
    x = 491.04

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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.