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Finding the Fourth Proportional to 1,116.23, 1,674.57 and 336.20

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Solution

The fourth proportional to 1,116.23, 1,674.57 and 336.20 is: 504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.23 : 1,674.57 = 336.20 : x
  2. Step 2: Convert to fraction form
    1,116.23/1,674.57 = 336.20/x
  3. Step 3: Cross multiply
    1,116.23x = 1,674.57 × 336.20
  4. Step 4: Simplify right side
    1,116.23x = 562,990.43
  5. Step 5: Solve for x
    x = 562,990.43/1,116.23
  6. Step 6: Final answer
    x = 504.37

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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.