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Finding the Fourth Proportional to 1,114.05, 1,671.66 and 680.25

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Solution

The fourth proportional to 1,114.05, 1,671.66 and 680.25 is: 1,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.05 : 1,671.66 = 680.25 : x
  2. Step 2: Convert to fraction form
    1,114.05/1,671.66 = 680.25/x
  3. Step 3: Cross multiply
    1,114.05x = 1,671.66 × 680.25
  4. Step 4: Simplify right side
    1,114.05x = 1,137,146.72
  5. Step 5: Solve for x
    x = 1,137,146.72/1,114.05
  6. Step 6: Final answer
    x = 1,020.73

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Why These Related Problems?

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