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Finding the Fourth Proportional to 685.21, 1,027.33 and 377.21

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Solution

The fourth proportional to 685.21, 1,027.33 and 377.21 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.21 : 1,027.33 = 377.21 : x
  2. Step 2: Convert to fraction form
    685.21/1,027.33 = 377.21/x
  3. Step 3: Cross multiply
    685.21x = 1,027.33 × 377.21
  4. Step 4: Simplify right side
    685.21x = 387,513.07
  5. Step 5: Solve for x
    x = 387,513.07/685.21
  6. Step 6: Final answer
    x = 565.54

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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.