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Finding the Fourth Proportional to 1,704.70, 2,557.06 and 550.45

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Solution

The fourth proportional to 1,704.70, 2,557.06 and 550.45 is: 825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.70 : 2,557.06 = 550.45 : x
  2. Step 2: Convert to fraction form
    1,704.70/2,557.06 = 550.45/x
  3. Step 3: Cross multiply
    1,704.70x = 2,557.06 × 550.45
  4. Step 4: Simplify right side
    1,704.70x = 1,407,518.14
  5. Step 5: Solve for x
    x = 1,407,518.14/1,704.70
  6. Step 6: Final answer
    x = 825.67

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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.