Home / 1,196.80-1,795.92-466.36

Finding the Fourth Proportional to 1,196.80, 1,795.92 and 466.36

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Solution

The fourth proportional to 1,196.80, 1,795.92 and 466.36 is: 699.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.80 : 1,795.92 = 466.36 : x
  2. Step 2: Convert to fraction form
    1,196.80/1,795.92 = 466.36/x
  3. Step 3: Cross multiply
    1,196.80x = 1,795.92 × 466.36
  4. Step 4: Simplify right side
    1,196.80x = 837,545.25
  5. Step 5: Solve for x
    x = 837,545.25/1,196.80
  6. Step 6: Final answer
    x = 699.82

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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.