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Finding the Fourth Proportional to 1,399.97, 1,932 and 770.55

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Solution

The fourth proportional to 1,399.97, 1,932 and 770.55 is: 1,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.97 : 1,932 = 770.55 : x
  2. Step 2: Convert to fraction form
    1,399.97/1,932 = 770.55/x
  3. Step 3: Cross multiply
    1,399.97x = 1,932 × 770.55
  4. Step 4: Simplify right side
    1,399.97x = 1,488,702.60
  5. Step 5: Solve for x
    x = 1,488,702.60/1,399.97
  6. Step 6: Final answer
    x = 1,063.39

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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.