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Finding the Fourth Proportional to 1,196.13, 1,794.19 and 465.78

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Solution

The fourth proportional to 1,196.13, 1,794.19 and 465.78 is: 698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.13 : 1,794.19 = 465.78 : x
  2. Step 2: Convert to fraction form
    1,196.13/1,794.19 = 465.78/x
  3. Step 3: Cross multiply
    1,196.13x = 1,794.19 × 465.78
  4. Step 4: Simplify right side
    1,196.13x = 835,697.82
  5. Step 5: Solve for x
    x = 835,697.82/1,196.13
  6. Step 6: Final answer
    x = 698.67

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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.