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Finding the Fourth Proportional to 1,696.28, 2,543.82 and 771.06

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Solution

The fourth proportional to 1,696.28, 2,543.82 and 771.06 is: 1,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.28 : 2,543.82 = 771.06 : x
  2. Step 2: Convert to fraction form
    1,696.28/2,543.82 = 771.06/x
  3. Step 3: Cross multiply
    1,696.28x = 2,543.82 × 771.06
  4. Step 4: Simplify right side
    1,696.28x = 1,961,437.85
  5. Step 5: Solve for x
    x = 1,961,437.85/1,696.28
  6. Step 6: Final answer
    x = 1,156.32

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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.