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Finding the Fourth Proportional to 704.88, 965.62 and 696.98

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Solution

The fourth proportional to 704.88, 965.62 and 696.98 is: 954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.88 : 965.62 = 696.98 : x
  2. Step 2: Convert to fraction form
    704.88/965.62 = 696.98/x
  3. Step 3: Cross multiply
    704.88x = 965.62 × 696.98
  4. Step 4: Simplify right side
    704.88x = 673,017.83
  5. Step 5: Solve for x
    x = 673,017.83/704.88
  6. Step 6: Final answer
    x = 954.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.