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Finding the Fourth Proportional to 1,283.78, 1,771.34 and 786.54

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Solution

The fourth proportional to 1,283.78, 1,771.34 and 786.54 is: 1,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.78 : 1,771.34 = 786.54 : x
  2. Step 2: Convert to fraction form
    1,283.78/1,771.34 = 786.54/x
  3. Step 3: Cross multiply
    1,283.78x = 1,771.34 × 786.54
  4. Step 4: Simplify right side
    1,283.78x = 1,393,229.76
  5. Step 5: Solve for x
    x = 1,393,229.76/1,283.78
  6. Step 6: Final answer
    x = 1,085.26

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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.