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Finding the Fourth Proportional to 1,376.92, 2,064.97 and 511.03

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Solution

The fourth proportional to 1,376.92, 2,064.97 and 511.03 is: 766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.92 : 2,064.97 = 511.03 : x
  2. Step 2: Convert to fraction form
    1,376.92/2,064.97 = 511.03/x
  3. Step 3: Cross multiply
    1,376.92x = 2,064.97 × 511.03
  4. Step 4: Simplify right side
    1,376.92x = 1,055,261.62
  5. Step 5: Solve for x
    x = 1,055,261.62/1,376.92
  6. Step 6: Final answer
    x = 766.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.