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Finding the Fourth Proportional to 964.77, 1,446.23 and 531.63

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Solution

The fourth proportional to 964.77, 1,446.23 and 531.63 is: 796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.77 : 1,446.23 = 531.63 : x
  2. Step 2: Convert to fraction form
    964.77/1,446.23 = 531.63/x
  3. Step 3: Cross multiply
    964.77x = 1,446.23 × 531.63
  4. Step 4: Simplify right side
    964.77x = 768,856.60
  5. Step 5: Solve for x
    x = 768,856.60/964.77
  6. Step 6: Final answer
    x = 796.93

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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.