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Finding the Fourth Proportional to 965.13, 1,331.69 and 650.04

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Solution

The fourth proportional to 965.13, 1,331.69 and 650.04 is: 896.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.13 : 1,331.69 = 650.04 : x
  2. Step 2: Convert to fraction form
    965.13/1,331.69 = 650.04/x
  3. Step 3: Cross multiply
    965.13x = 1,331.69 × 650.04
  4. Step 4: Simplify right side
    965.13x = 865,648.52
  5. Step 5: Solve for x
    x = 865,648.52/965.13
  6. Step 6: Final answer
    x = 896.92

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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.