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Finding the Fourth Proportional to 965.03, 1,447.02 and 618.19

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Solution

The fourth proportional to 965.03, 1,447.02 and 618.19 is: 926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.03 : 1,447.02 = 618.19 : x
  2. Step 2: Convert to fraction form
    965.03/1,447.02 = 618.19/x
  3. Step 3: Cross multiply
    965.03x = 1,447.02 × 618.19
  4. Step 4: Simplify right side
    965.03x = 894,529.68
  5. Step 5: Solve for x
    x = 894,529.68/965.03
  6. Step 6: Final answer
    x = 926.95

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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.