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Finding the Fourth Proportional to 633.82, 945.52 and 589.64

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Solution

The fourth proportional to 633.82, 945.52 and 589.64 is: 879.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.82 : 945.52 = 589.64 : x
  2. Step 2: Convert to fraction form
    633.82/945.52 = 589.64/x
  3. Step 3: Cross multiply
    633.82x = 945.52 × 589.64
  4. Step 4: Simplify right side
    633.82x = 557,516.41
  5. Step 5: Solve for x
    x = 557,516.41/633.82
  6. Step 6: Final answer
    x = 879.61

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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.