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Finding the Fourth Proportional to 899.96, 1,349.48 and 566.42

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Solution

The fourth proportional to 899.96, 1,349.48 and 566.42 is: 849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.96 : 1,349.48 = 566.42 : x
  2. Step 2: Convert to fraction form
    899.96/1,349.48 = 566.42/x
  3. Step 3: Cross multiply
    899.96x = 1,349.48 × 566.42
  4. Step 4: Simplify right side
    899.96x = 764,372.46
  5. Step 5: Solve for x
    x = 764,372.46/899.96
  6. Step 6: Final answer
    x = 849.34

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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.