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Finding the Fourth Proportional to 1,311.02, 1,967.75 and 662.21

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Solution

The fourth proportional to 1,311.02, 1,967.75 and 662.21 is: 993.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.02 : 1,967.75 = 662.21 : x
  2. Step 2: Convert to fraction form
    1,311.02/1,967.75 = 662.21/x
  3. Step 3: Cross multiply
    1,311.02x = 1,967.75 × 662.21
  4. Step 4: Simplify right side
    1,311.02x = 1,303,060.42
  5. Step 5: Solve for x
    x = 1,303,060.42/1,311.02
  6. Step 6: Final answer
    x = 993.93

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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.