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Finding the Fourth Proportional to 899.46, 1,349.61 and 466.38

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Solution

The fourth proportional to 899.46, 1,349.61 and 466.38 is: 699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.46 : 1,349.61 = 466.38 : x
  2. Step 2: Convert to fraction form
    899.46/1,349.61 = 466.38/x
  3. Step 3: Cross multiply
    899.46x = 1,349.61 × 466.38
  4. Step 4: Simplify right side
    899.46x = 629,431.11
  5. Step 5: Solve for x
    x = 629,431.11/899.46
  6. Step 6: Final answer
    x = 699.79

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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.