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Finding the Fourth Proportional to 525.94, 789.10 and 491.10

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Solution

The fourth proportional to 525.94, 789.10 and 491.10 is: 736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.94 : 789.10 = 491.10 : x
  2. Step 2: Convert to fraction form
    525.94/789.10 = 491.10/x
  3. Step 3: Cross multiply
    525.94x = 789.10 × 491.10
  4. Step 4: Simplify right side
    525.94x = 387,527.01
  5. Step 5: Solve for x
    x = 387,527.01/525.94
  6. Step 6: Final answer
    x = 736.83

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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.