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Finding the Fourth Proportional to 1,116.24, 1,539.18 and 967.56

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Solution

The fourth proportional to 1,116.24, 1,539.18 and 967.56 is: 1,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.24 : 1,539.18 = 967.56 : x
  2. Step 2: Convert to fraction form
    1,116.24/1,539.18 = 967.56/x
  3. Step 3: Cross multiply
    1,116.24x = 1,539.18 × 967.56
  4. Step 4: Simplify right side
    1,116.24x = 1,489,249.00
  5. Step 5: Solve for x
    x = 1,489,249.00/1,116.24
  6. Step 6: Final answer
    x = 1,334.17

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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.