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Finding the Fourth Proportional to 1,381.88, 1,906.99 and 760.88

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Solution

The fourth proportional to 1,381.88, 1,906.99 and 760.88 is: 1,050.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.88 : 1,906.99 = 760.88 : x
  2. Step 2: Convert to fraction form
    1,381.88/1,906.99 = 760.88/x
  3. Step 3: Cross multiply
    1,381.88x = 1,906.99 × 760.88
  4. Step 4: Simplify right side
    1,381.88x = 1,450,990.55
  5. Step 5: Solve for x
    x = 1,450,990.55/1,381.88
  6. Step 6: Final answer
    x = 1,050.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.