Home / 1,147.44-1,583.34-650.04

Finding the Fourth Proportional to 1,147.44, 1,583.34 and 650.04

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Solution

The fourth proportional to 1,147.44, 1,583.34 and 650.04 is: 896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.44 : 1,583.34 = 650.04 : x
  2. Step 2: Convert to fraction form
    1,147.44/1,583.34 = 650.04/x
  3. Step 3: Cross multiply
    1,147.44x = 1,583.34 × 650.04
  4. Step 4: Simplify right side
    1,147.44x = 1,029,234.33
  5. Step 5: Solve for x
    x = 1,029,234.33/1,147.44
  6. Step 6: Final answer
    x = 896.98

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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.