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Finding the Fourth Proportional to 1,301.89, 1,796.67 and 986.56

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Solution

The fourth proportional to 1,301.89, 1,796.67 and 986.56 is: 1,361.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.89 : 1,796.67 = 986.56 : x
  2. Step 2: Convert to fraction form
    1,301.89/1,796.67 = 986.56/x
  3. Step 3: Cross multiply
    1,301.89x = 1,796.67 × 986.56
  4. Step 4: Simplify right side
    1,301.89x = 1,772,522.76
  5. Step 5: Solve for x
    x = 1,772,522.76/1,301.89
  6. Step 6: Final answer
    x = 1,361.50

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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.