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Finding the Fourth Proportional to 1,699.34, 2,548.67 and 466.43

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Solution

The fourth proportional to 1,699.34, 2,548.67 and 466.43 is: 699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.34 : 2,548.67 = 466.43 : x
  2. Step 2: Convert to fraction form
    1,699.34/2,548.67 = 466.43/x
  3. Step 3: Cross multiply
    1,699.34x = 2,548.67 × 466.43
  4. Step 4: Simplify right side
    1,699.34x = 1,188,783.69
  5. Step 5: Solve for x
    x = 1,188,783.69/1,699.34
  6. Step 6: Final answer
    x = 699.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.