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Finding the Fourth Proportional to 1,283.82, 1,771.37 and 864.95

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Solution

The fourth proportional to 1,283.82, 1,771.37 and 864.95 is: 1,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.82 : 1,771.37 = 864.95 : x
  2. Step 2: Convert to fraction form
    1,283.82/1,771.37 = 864.95/x
  3. Step 3: Cross multiply
    1,283.82x = 1,771.37 × 864.95
  4. Step 4: Simplify right side
    1,283.82x = 1,532,136.54
  5. Step 5: Solve for x
    x = 1,532,136.54/1,283.82
  6. Step 6: Final answer
    x = 1,193.42

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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.