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Finding the Fourth Proportional to 525.81, 789.26 and 486.93

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Solution

The fourth proportional to 525.81, 789.26 and 486.93 is: 730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.81 : 789.26 = 486.93 : x
  2. Step 2: Convert to fraction form
    525.81/789.26 = 486.93/x
  3. Step 3: Cross multiply
    525.81x = 789.26 × 486.93
  4. Step 4: Simplify right side
    525.81x = 384,311.94
  5. Step 5: Solve for x
    x = 384,311.94/525.81
  6. Step 6: Final answer
    x = 730.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.