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Finding the Fourth Proportional to 965.85, 1,331.41 and 592.54

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Solution

The fourth proportional to 965.85, 1,331.41 and 592.54 is: 816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.85 : 1,331.41 = 592.54 : x
  2. Step 2: Convert to fraction form
    965.85/1,331.41 = 592.54/x
  3. Step 3: Cross multiply
    965.85x = 1,331.41 × 592.54
  4. Step 4: Simplify right side
    965.85x = 788,915.39
  5. Step 5: Solve for x
    x = 788,915.39/965.85
  6. Step 6: Final answer
    x = 816.81

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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.