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Finding the Fourth Proportional to 645.94, 963.92 and 576.72

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Solution

The fourth proportional to 645.94, 963.92 and 576.72 is: 860.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.94 : 963.92 = 576.72 : x
  2. Step 2: Convert to fraction form
    645.94/963.92 = 576.72/x
  3. Step 3: Cross multiply
    645.94x = 963.92 × 576.72
  4. Step 4: Simplify right side
    645.94x = 555,911.94
  5. Step 5: Solve for x
    x = 555,911.94/645.94
  6. Step 6: Final answer
    x = 860.62

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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.