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Finding the Fourth Proportional to 1,327.41, 1,991.14 and 353.65

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Solution

The fourth proportional to 1,327.41, 1,991.14 and 353.65 is: 530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.41 : 1,991.14 = 353.65 : x
  2. Step 2: Convert to fraction form
    1,327.41/1,991.14 = 353.65/x
  3. Step 3: Cross multiply
    1,327.41x = 1,991.14 × 353.65
  4. Step 4: Simplify right side
    1,327.41x = 704,164.89
  5. Step 5: Solve for x
    x = 704,164.89/1,327.41
  6. Step 6: Final answer
    x = 530.48

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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.