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Finding the Fourth Proportional to 965.28, 1,447.52 and 810.48

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Solution

The fourth proportional to 965.28, 1,447.52 and 810.48 is: 1,215.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.28 : 1,447.52 = 810.48 : x
  2. Step 2: Convert to fraction form
    965.28/1,447.52 = 810.48/x
  3. Step 3: Cross multiply
    965.28x = 1,447.52 × 810.48
  4. Step 4: Simplify right side
    965.28x = 1,173,186.01
  5. Step 5: Solve for x
    x = 1,173,186.01/965.28
  6. Step 6: Final answer
    x = 1,215.38

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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.