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Finding the Fourth Proportional to 1,764.96, 2,647.22 and 466.53

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Solution

The fourth proportional to 1,764.96, 2,647.22 and 466.53 is: 699.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.96 : 2,647.22 = 466.53 : x
  2. Step 2: Convert to fraction form
    1,764.96/2,647.22 = 466.53/x
  3. Step 3: Cross multiply
    1,764.96x = 2,647.22 × 466.53
  4. Step 4: Simplify right side
    1,764.96x = 1,235,005.21
  5. Step 5: Solve for x
    x = 1,235,005.21/1,764.96
  6. Step 6: Final answer
    x = 699.74

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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.