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Finding the Fourth Proportional to 1,121.10, 1,680.96 and 504.70

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Solution

The fourth proportional to 1,121.10, 1,680.96 and 504.70 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.10 : 1,680.96 = 504.70 : x
  2. Step 2: Convert to fraction form
    1,121.10/1,680.96 = 504.70/x
  3. Step 3: Cross multiply
    1,121.10x = 1,680.96 × 504.70
  4. Step 4: Simplify right side
    1,121.10x = 848,380.51
  5. Step 5: Solve for x
    x = 848,380.51/1,121.10
  6. Step 6: Final answer
    x = 756.74

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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.