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Finding the Fourth Proportional to 1,327.74, 1,990.96 and 403.12

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Solution

The fourth proportional to 1,327.74, 1,990.96 and 403.12 is: 604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.74 : 1,990.96 = 403.12 : x
  2. Step 2: Convert to fraction form
    1,327.74/1,990.96 = 403.12/x
  3. Step 3: Cross multiply
    1,327.74x = 1,990.96 × 403.12
  4. Step 4: Simplify right side
    1,327.74x = 802,595.80
  5. Step 5: Solve for x
    x = 802,595.80/1,327.74
  6. Step 6: Final answer
    x = 604.48

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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.