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Finding the Fourth Proportional to 1,090.81, 1,632.12 and 650.44

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Solution

The fourth proportional to 1,090.81, 1,632.12 and 650.44 is: 973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.81 : 1,632.12 = 650.44 : x
  2. Step 2: Convert to fraction form
    1,090.81/1,632.12 = 650.44/x
  3. Step 3: Cross multiply
    1,090.81x = 1,632.12 × 650.44
  4. Step 4: Simplify right side
    1,090.81x = 1,061,596.13
  5. Step 5: Solve for x
    x = 1,061,596.13/1,090.81
  6. Step 6: Final answer
    x = 973.22

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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.