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Finding the Fourth Proportional to 1,697.70, 2,544.50 and 771.99

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Solution

The fourth proportional to 1,697.70, 2,544.50 and 771.99 is: 1,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.70 : 2,544.50 = 771.99 : x
  2. Step 2: Convert to fraction form
    1,697.70/2,544.50 = 771.99/x
  3. Step 3: Cross multiply
    1,697.70x = 2,544.50 × 771.99
  4. Step 4: Simplify right side
    1,697.70x = 1,964,315.15
  5. Step 5: Solve for x
    x = 1,964,315.15/1,697.70
  6. Step 6: Final answer
    x = 1,157.04

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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.