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Finding the Fourth Proportional to 835.82, 1,254.14 and 403.01

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Solution

The fourth proportional to 835.82, 1,254.14 and 403.01 is: 604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.82 : 1,254.14 = 403.01 : x
  2. Step 2: Convert to fraction form
    835.82/1,254.14 = 403.01/x
  3. Step 3: Cross multiply
    835.82x = 1,254.14 × 403.01
  4. Step 4: Simplify right side
    835.82x = 505,430.96
  5. Step 5: Solve for x
    x = 505,430.96/835.82
  6. Step 6: Final answer
    x = 604.71

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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.