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Finding the Fourth Proportional to 1,764.99, 2,647.19 and 466.59

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Solution

The fourth proportional to 1,764.99, 2,647.19 and 466.59 is: 699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.99 : 2,647.19 = 466.59 : x
  2. Step 2: Convert to fraction form
    1,764.99/2,647.19 = 466.59/x
  3. Step 3: Cross multiply
    1,764.99x = 2,647.19 × 466.59
  4. Step 4: Simplify right side
    1,764.99x = 1,235,150.05
  5. Step 5: Solve for x
    x = 1,235,150.05/1,764.99
  6. Step 6: Final answer
    x = 699.81

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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.