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Finding the Fourth Proportional to 966.48, 1,447.26 and 640.84

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Solution

The fourth proportional to 966.48, 1,447.26 and 640.84 is: 959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.48 : 1,447.26 = 640.84 : x
  2. Step 2: Convert to fraction form
    966.48/1,447.26 = 640.84/x
  3. Step 3: Cross multiply
    966.48x = 1,447.26 × 640.84
  4. Step 4: Simplify right side
    966.48x = 927,462.10
  5. Step 5: Solve for x
    x = 927,462.10/966.48
  6. Step 6: Final answer
    x = 959.63

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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.