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Finding the Fourth Proportional to 1,281, 1,760.11 and 1,018.56

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Solution

The fourth proportional to 1,281, 1,760.11 and 1,018.56 is: 1,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281 : 1,760.11 = 1,018.56 : x
  2. Step 2: Convert to fraction form
    1,281/1,760.11 = 1,018.56/x
  3. Step 3: Cross multiply
    1,281x = 1,760.11 × 1,018.56
  4. Step 4: Simplify right side
    1,281x = 1,792,777.64
  5. Step 5: Solve for x
    x = 1,792,777.64/1,281
  6. Step 6: Final answer
    x = 1,399.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.