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Finding the Fourth Proportional to 965.26, 1,445.43 and 618.98

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Solution

The fourth proportional to 965.26, 1,445.43 and 618.98 is: 926.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.26 : 1,445.43 = 618.98 : x
  2. Step 2: Convert to fraction form
    965.26/1,445.43 = 618.98/x
  3. Step 3: Cross multiply
    965.26x = 1,445.43 × 618.98
  4. Step 4: Simplify right side
    965.26x = 894,692.26
  5. Step 5: Solve for x
    x = 894,692.26/965.26
  6. Step 6: Final answer
    x = 926.89

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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.