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Finding the Fourth Proportional to 899.32, 1,241.14 and 506.38

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Solution

The fourth proportional to 899.32, 1,241.14 and 506.38 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.32 : 1,241.14 = 506.38 : x
  2. Step 2: Convert to fraction form
    899.32/1,241.14 = 506.38/x
  3. Step 3: Cross multiply
    899.32x = 1,241.14 × 506.38
  4. Step 4: Simplify right side
    899.32x = 628,488.47
  5. Step 5: Solve for x
    x = 628,488.47/899.32
  6. Step 6: Final answer
    x = 698.85

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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.