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Finding the Fourth Proportional to 1,764.99, 2,647.49 and 466.47

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Solution

The fourth proportional to 1,764.99, 2,647.49 and 466.47 is: 699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.99 : 2,647.49 = 466.47 : x
  2. Step 2: Convert to fraction form
    1,764.99/2,647.49 = 466.47/x
  3. Step 3: Cross multiply
    1,764.99x = 2,647.49 × 466.47
  4. Step 4: Simplify right side
    1,764.99x = 1,234,972.33
  5. Step 5: Solve for x
    x = 1,234,972.33/1,764.99
  6. Step 6: Final answer
    x = 699.71

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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.