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Finding the Fourth Proportional to 969, 1,337.16 and 575.80

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Solution

The fourth proportional to 969, 1,337.16 and 575.80 is: 794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    969 : 1,337.16 = 575.80 : x
  2. Step 2: Convert to fraction form
    969/1,337.16 = 575.80/x
  3. Step 3: Cross multiply
    969x = 1,337.16 × 575.80
  4. Step 4: Simplify right side
    969x = 769,936.73
  5. Step 5: Solve for x
    x = 769,936.73/969
  6. Step 6: Final answer
    x = 794.57

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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.