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Finding the Fourth Proportional to 965.22, 1,446.09 and 812.10

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Solution

The fourth proportional to 965.22, 1,446.09 and 812.10 is: 1,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.22 : 1,446.09 = 812.10 : x
  2. Step 2: Convert to fraction form
    965.22/1,446.09 = 812.10/x
  3. Step 3: Cross multiply
    965.22x = 1,446.09 × 812.10
  4. Step 4: Simplify right side
    965.22x = 1,174,369.69
  5. Step 5: Solve for x
    x = 1,174,369.69/965.22
  6. Step 6: Final answer
    x = 1,216.69

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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.