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Finding the Fourth Proportional to 1,197.05, 1,794.87 and 465.77

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Solution

The fourth proportional to 1,197.05, 1,794.87 and 465.77 is: 698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.05 : 1,794.87 = 465.77 : x
  2. Step 2: Convert to fraction form
    1,197.05/1,794.87 = 465.77/x
  3. Step 3: Cross multiply
    1,197.05x = 1,794.87 × 465.77
  4. Step 4: Simplify right side
    1,197.05x = 835,987.63
  5. Step 5: Solve for x
    x = 835,987.63/1,197.05
  6. Step 6: Final answer
    x = 698.37

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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.