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Finding the Fourth Proportional to 1,283.86, 1,771.73 and 694.39

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Solution

The fourth proportional to 1,283.86, 1,771.73 and 694.39 is: 958.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.86 : 1,771.73 = 694.39 : x
  2. Step 2: Convert to fraction form
    1,283.86/1,771.73 = 694.39/x
  3. Step 3: Cross multiply
    1,283.86x = 1,771.73 × 694.39
  4. Step 4: Simplify right side
    1,283.86x = 1,230,270.34
  5. Step 5: Solve for x
    x = 1,230,270.34/1,283.86
  6. Step 6: Final answer
    x = 958.26

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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.