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Finding the Fourth Proportional to 959.85, 1,433.28 and 762.63

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Solution

The fourth proportional to 959.85, 1,433.28 and 762.63 is: 1,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.85 : 1,433.28 = 762.63 : x
  2. Step 2: Convert to fraction form
    959.85/1,433.28 = 762.63/x
  3. Step 3: Cross multiply
    959.85x = 1,433.28 × 762.63
  4. Step 4: Simplify right side
    959.85x = 1,093,062.33
  5. Step 5: Solve for x
    x = 1,093,062.33/959.85
  6. Step 6: Final answer
    x = 1,138.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.