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Finding the Fourth Proportional to 667.16, 999.84 and 522.92

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Solution

The fourth proportional to 667.16, 999.84 and 522.92 is: 783.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.16 : 999.84 = 522.92 : x
  2. Step 2: Convert to fraction form
    667.16/999.84 = 522.92/x
  3. Step 3: Cross multiply
    667.16x = 999.84 × 522.92
  4. Step 4: Simplify right side
    667.16x = 522,836.33
  5. Step 5: Solve for x
    x = 522,836.33/667.16
  6. Step 6: Final answer
    x = 783.67

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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.