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Finding the Fourth Proportional to 1,353.54, 2,030.32 and 327.54

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Solution

The fourth proportional to 1,353.54, 2,030.32 and 327.54 is: 491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.54 : 2,030.32 = 327.54 : x
  2. Step 2: Convert to fraction form
    1,353.54/2,030.32 = 327.54/x
  3. Step 3: Cross multiply
    1,353.54x = 2,030.32 × 327.54
  4. Step 4: Simplify right side
    1,353.54x = 665,011.01
  5. Step 5: Solve for x
    x = 665,011.01/1,353.54
  6. Step 6: Final answer
    x = 491.31

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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.