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Finding the Fourth Proportional to 1,142.66, 1,713.98 and 321.17

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Solution

The fourth proportional to 1,142.66, 1,713.98 and 321.17 is: 481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.66 : 1,713.98 = 321.17 : x
  2. Step 2: Convert to fraction form
    1,142.66/1,713.98 = 321.17/x
  3. Step 3: Cross multiply
    1,142.66x = 1,713.98 × 321.17
  4. Step 4: Simplify right side
    1,142.66x = 550,471.19
  5. Step 5: Solve for x
    x = 550,471.19/1,142.66
  6. Step 6: Final answer
    x = 481.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.