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Finding the Fourth Proportional to 960.26, 1,433.92 and 954.50

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Solution

The fourth proportional to 960.26, 1,433.92 and 954.50 is: 1,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.26 : 1,433.92 = 954.50 : x
  2. Step 2: Convert to fraction form
    960.26/1,433.92 = 954.50/x
  3. Step 3: Cross multiply
    960.26x = 1,433.92 × 954.50
  4. Step 4: Simplify right side
    960.26x = 1,368,677.84
  5. Step 5: Solve for x
    x = 1,368,677.84/960.26
  6. Step 6: Final answer
    x = 1,425.32

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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.