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Finding the Fourth Proportional to 965.22, 1,450.21 and 618.71

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Solution

The fourth proportional to 965.22, 1,450.21 and 618.71 is: 929.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.22 : 1,450.21 = 618.71 : x
  2. Step 2: Convert to fraction form
    965.22/1,450.21 = 618.71/x
  3. Step 3: Cross multiply
    965.22x = 1,450.21 × 618.71
  4. Step 4: Simplify right side
    965.22x = 897,250.63
  5. Step 5: Solve for x
    x = 897,250.63/965.22
  6. Step 6: Final answer
    x = 929.58

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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.