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Finding the Fourth Proportional to 759.54, 1,139.36 and 204.33

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Solution

The fourth proportional to 759.54, 1,139.36 and 204.33 is: 306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.54 : 1,139.36 = 204.33 : x
  2. Step 2: Convert to fraction form
    759.54/1,139.36 = 204.33/x
  3. Step 3: Cross multiply
    759.54x = 1,139.36 × 204.33
  4. Step 4: Simplify right side
    759.54x = 232,804.41
  5. Step 5: Solve for x
    x = 232,804.41/759.54
  6. Step 6: Final answer
    x = 306.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.