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Finding the Fourth Proportional to 1,696.23, 2,543.57 and 771.75

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Solution

The fourth proportional to 1,696.23, 2,543.57 and 771.75 is: 1,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.23 : 2,543.57 = 771.75 : x
  2. Step 2: Convert to fraction form
    1,696.23/2,543.57 = 771.75/x
  3. Step 3: Cross multiply
    1,696.23x = 2,543.57 × 771.75
  4. Step 4: Simplify right side
    1,696.23x = 1,963,000.15
  5. Step 5: Solve for x
    x = 1,963,000.15/1,696.23
  6. Step 6: Final answer
    x = 1,157.27

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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.