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Finding the Fourth Proportional to 1,196.36, 1,794.03 and 465.77

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Solution

The fourth proportional to 1,196.36, 1,794.03 and 465.77 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.36 : 1,794.03 = 465.77 : x
  2. Step 2: Convert to fraction form
    1,196.36/1,794.03 = 465.77/x
  3. Step 3: Cross multiply
    1,196.36x = 1,794.03 × 465.77
  4. Step 4: Simplify right side
    1,196.36x = 835,605.67
  5. Step 5: Solve for x
    x = 835,605.67/1,196.36
  6. Step 6: Final answer
    x = 698.45

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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.