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Finding the Fourth Proportional to 899.66, 1,241.56 and 506.67

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Solution

The fourth proportional to 899.66, 1,241.56 and 506.67 is: 699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.66 : 1,241.56 = 506.67 : x
  2. Step 2: Convert to fraction form
    899.66/1,241.56 = 506.67/x
  3. Step 3: Cross multiply
    899.66x = 1,241.56 × 506.67
  4. Step 4: Simplify right side
    899.66x = 629,064.17
  5. Step 5: Solve for x
    x = 629,064.17/899.66
  6. Step 6: Final answer
    x = 699.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.