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Finding the Fourth Proportional to 645.18, 966.33 and 522.96

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Solution

The fourth proportional to 645.18, 966.33 and 522.96 is: 783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.18 : 966.33 = 522.96 : x
  2. Step 2: Convert to fraction form
    645.18/966.33 = 522.96/x
  3. Step 3: Cross multiply
    645.18x = 966.33 × 522.96
  4. Step 4: Simplify right side
    645.18x = 505,351.94
  5. Step 5: Solve for x
    x = 505,351.94/645.18
  6. Step 6: Final answer
    x = 783.27

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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.