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Finding the Fourth Proportional to 899.33, 1,241.71 and 584.78

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Solution

The fourth proportional to 899.33, 1,241.71 and 584.78 is: 807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.33 : 1,241.71 = 584.78 : x
  2. Step 2: Convert to fraction form
    899.33/1,241.71 = 584.78/x
  3. Step 3: Cross multiply
    899.33x = 1,241.71 × 584.78
  4. Step 4: Simplify right side
    899.33x = 726,119.50
  5. Step 5: Solve for x
    x = 726,119.50/899.33
  6. Step 6: Final answer
    x = 807.41

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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.