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Finding the Fourth Proportional to 965.44, 1,448.12 and 656.52

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Solution

The fourth proportional to 965.44, 1,448.12 and 656.52 is: 984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.44 : 1,448.12 = 656.52 : x
  2. Step 2: Convert to fraction form
    965.44/1,448.12 = 656.52/x
  3. Step 3: Cross multiply
    965.44x = 1,448.12 × 656.52
  4. Step 4: Simplify right side
    965.44x = 950,719.74
  5. Step 5: Solve for x
    x = 950,719.74/965.44
  6. Step 6: Final answer
    x = 984.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.