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Finding the Fourth Proportional to 796.52, 1,188.94 and 704.36

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Solution

The fourth proportional to 796.52, 1,188.94 and 704.36 is: 1,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.52 : 1,188.94 = 704.36 : x
  2. Step 2: Convert to fraction form
    796.52/1,188.94 = 704.36/x
  3. Step 3: Cross multiply
    796.52x = 1,188.94 × 704.36
  4. Step 4: Simplify right side
    796.52x = 837,441.78
  5. Step 5: Solve for x
    x = 837,441.78/796.52
  6. Step 6: Final answer
    x = 1,051.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.