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Finding the Fourth Proportional to 964.12, 1,327.98 and 839.56

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Solution

The fourth proportional to 964.12, 1,327.98 and 839.56 is: 1,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.12 : 1,327.98 = 839.56 : x
  2. Step 2: Convert to fraction form
    964.12/1,327.98 = 839.56/x
  3. Step 3: Cross multiply
    964.12x = 1,327.98 × 839.56
  4. Step 4: Simplify right side
    964.12x = 1,114,918.89
  5. Step 5: Solve for x
    x = 1,114,918.89/964.12
  6. Step 6: Final answer
    x = 1,156.41

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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.