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Finding the Fourth Proportional to 999.67, 1,379.41 and 649.75

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Solution

The fourth proportional to 999.67, 1,379.41 and 649.75 is: 896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.67 : 1,379.41 = 649.75 : x
  2. Step 2: Convert to fraction form
    999.67/1,379.41 = 649.75/x
  3. Step 3: Cross multiply
    999.67x = 1,379.41 × 649.75
  4. Step 4: Simplify right side
    999.67x = 896,271.65
  5. Step 5: Solve for x
    x = 896,271.65/999.67
  6. Step 6: Final answer
    x = 896.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.