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Finding the Fourth Proportional to 1,696.82, 2,544.01 and 771.91

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Solution

The fourth proportional to 1,696.82, 2,544.01 and 771.91 is: 1,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.82 : 2,544.01 = 771.91 : x
  2. Step 2: Convert to fraction form
    1,696.82/2,544.01 = 771.91/x
  3. Step 3: Cross multiply
    1,696.82x = 2,544.01 × 771.91
  4. Step 4: Simplify right side
    1,696.82x = 1,963,738.47
  5. Step 5: Solve for x
    x = 1,963,738.47/1,696.82
  6. Step 6: Final answer
    x = 1,157.31

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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.