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Finding the Fourth Proportional to 4,662.25, 6,992.30 and 1,330.43

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Solution

The fourth proportional to 4,662.25, 6,992.30 and 1,330.43 is: 1,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.25 : 6,992.30 = 1,330.43 : x
  2. Step 2: Convert to fraction form
    4,662.25/6,992.30 = 1,330.43/x
  3. Step 3: Cross multiply
    4,662.25x = 6,992.30 × 1,330.43
  4. Step 4: Simplify right side
    4,662.25x = 9,302,786.50
  5. Step 5: Solve for x
    x = 9,302,786.50/4,662.25
  6. Step 6: Final answer
    x = 1,995.34

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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.