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Finding the Fourth Proportional to 1,696.52, 2,542.70 and 771.83

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Solution

The fourth proportional to 1,696.52, 2,542.70 and 771.83 is: 1,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.52 : 2,542.70 = 771.83 : x
  2. Step 2: Convert to fraction form
    1,696.52/2,542.70 = 771.83/x
  3. Step 3: Cross multiply
    1,696.52x = 2,542.70 × 771.83
  4. Step 4: Simplify right side
    1,696.52x = 1,962,515.57
  5. Step 5: Solve for x
    x = 1,962,515.57/1,696.52
  6. Step 6: Final answer
    x = 1,156.79

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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.