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Finding the Fourth Proportional to 960.54, 1,438.49 and 651.45

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Solution

The fourth proportional to 960.54, 1,438.49 and 651.45 is: 975.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.54 : 1,438.49 = 651.45 : x
  2. Step 2: Convert to fraction form
    960.54/1,438.49 = 651.45/x
  3. Step 3: Cross multiply
    960.54x = 1,438.49 × 651.45
  4. Step 4: Simplify right side
    960.54x = 937,109.86
  5. Step 5: Solve for x
    x = 937,109.86/960.54
  6. Step 6: Final answer
    x = 975.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.