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Finding the Fourth Proportional to 1,283.88, 1,771.92 and 786.44

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Solution

The fourth proportional to 1,283.88, 1,771.92 and 786.44 is: 1,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.88 : 1,771.92 = 786.44 : x
  2. Step 2: Convert to fraction form
    1,283.88/1,771.92 = 786.44/x
  3. Step 3: Cross multiply
    1,283.88x = 1,771.92 × 786.44
  4. Step 4: Simplify right side
    1,283.88x = 1,393,508.76
  5. Step 5: Solve for x
    x = 1,393,508.76/1,283.88
  6. Step 6: Final answer
    x = 1,085.39

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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.