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Finding the Fourth Proportional to 1,327.84, 1,992.06 and 506.14

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Solution

The fourth proportional to 1,327.84, 1,992.06 and 506.14 is: 759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.84 : 1,992.06 = 506.14 : x
  2. Step 2: Convert to fraction form
    1,327.84/1,992.06 = 506.14/x
  3. Step 3: Cross multiply
    1,327.84x = 1,992.06 × 506.14
  4. Step 4: Simplify right side
    1,327.84x = 1,008,261.25
  5. Step 5: Solve for x
    x = 1,008,261.25/1,327.84
  6. Step 6: Final answer
    x = 759.32

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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.