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Finding the Fourth Proportional to 1,014.05, 1,520.84 and 662.54

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Solution

The fourth proportional to 1,014.05, 1,520.84 and 662.54 is: 993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.05 : 1,520.84 = 662.54 : x
  2. Step 2: Convert to fraction form
    1,014.05/1,520.84 = 662.54/x
  3. Step 3: Cross multiply
    1,014.05x = 1,520.84 × 662.54
  4. Step 4: Simplify right side
    1,014.05x = 1,007,617.33
  5. Step 5: Solve for x
    x = 1,007,617.33/1,014.05
  6. Step 6: Final answer
    x = 993.66

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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.