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Finding the Fourth Proportional to 667.40, 920.82 and 520.04

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Solution

The fourth proportional to 667.40, 920.82 and 520.04 is: 717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.40 : 920.82 = 520.04 : x
  2. Step 2: Convert to fraction form
    667.40/920.82 = 520.04/x
  3. Step 3: Cross multiply
    667.40x = 920.82 × 520.04
  4. Step 4: Simplify right side
    667.40x = 478,863.23
  5. Step 5: Solve for x
    x = 478,863.23/667.40
  6. Step 6: Final answer
    x = 717.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.