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Finding the Fourth Proportional to 899.50, 1,241.32 and 589

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Solution

The fourth proportional to 899.50, 1,241.32 and 589 is: 812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.50 : 1,241.32 = 589 : x
  2. Step 2: Convert to fraction form
    899.50/1,241.32 = 589/x
  3. Step 3: Cross multiply
    899.50x = 1,241.32 × 589
  4. Step 4: Simplify right side
    899.50x = 731,137.48
  5. Step 5: Solve for x
    x = 731,137.48/899.50
  6. Step 6: Final answer
    x = 812.83

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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.