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Finding the Fourth Proportional to 969, 1,329.03 and 852.36

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Solution

The fourth proportional to 969, 1,329.03 and 852.36 is: 1,169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    969 : 1,329.03 = 852.36 : x
  2. Step 2: Convert to fraction form
    969/1,329.03 = 852.36/x
  3. Step 3: Cross multiply
    969x = 1,329.03 × 852.36
  4. Step 4: Simplify right side
    969x = 1,132,812.01
  5. Step 5: Solve for x
    x = 1,132,812.01/969
  6. Step 6: Final answer
    x = 1,169.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.