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Finding the Fourth Proportional to 1,196.65, 1,794.98 and 649.09

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Solution

The fourth proportional to 1,196.65, 1,794.98 and 649.09 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.65 : 1,794.98 = 649.09 : x
  2. Step 2: Convert to fraction form
    1,196.65/1,794.98 = 649.09/x
  3. Step 3: Cross multiply
    1,196.65x = 1,794.98 × 649.09
  4. Step 4: Simplify right side
    1,196.65x = 1,165,103.57
  5. Step 5: Solve for x
    x = 1,165,103.57/1,196.65
  6. Step 6: Final answer
    x = 973.64

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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.