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Finding the Fourth Proportional to 965.51, 1,331.91 and 650.87

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Solution

The fourth proportional to 965.51, 1,331.91 and 650.87 is: 897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.51 : 1,331.91 = 650.87 : x
  2. Step 2: Convert to fraction form
    965.51/1,331.91 = 650.87/x
  3. Step 3: Cross multiply
    965.51x = 1,331.91 × 650.87
  4. Step 4: Simplify right side
    965.51x = 866,900.26
  5. Step 5: Solve for x
    x = 866,900.26/965.51
  6. Step 6: Final answer
    x = 897.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.