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Finding the Fourth Proportional to 1,288.56, 1,777.89 and 1,008.30

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Solution

The fourth proportional to 1,288.56, 1,777.89 and 1,008.30 is: 1,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.56 : 1,777.89 = 1,008.30 : x
  2. Step 2: Convert to fraction form
    1,288.56/1,777.89 = 1,008.30/x
  3. Step 3: Cross multiply
    1,288.56x = 1,777.89 × 1,008.30
  4. Step 4: Simplify right side
    1,288.56x = 1,792,646.49
  5. Step 5: Solve for x
    x = 1,792,646.49/1,288.56
  6. Step 6: Final answer
    x = 1,391.20

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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.