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Finding the Fourth Proportional to 851.97, 1,277.70 and 304.03

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Solution

The fourth proportional to 851.97, 1,277.70 and 304.03 is: 455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.97 : 1,277.70 = 304.03 : x
  2. Step 2: Convert to fraction form
    851.97/1,277.70 = 304.03/x
  3. Step 3: Cross multiply
    851.97x = 1,277.70 × 304.03
  4. Step 4: Simplify right side
    851.97x = 388,455.94
  5. Step 5: Solve for x
    x = 388,455.94/851.97
  6. Step 6: Final answer
    x = 455.95

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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.