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Finding the Fourth Proportional to 836.79, 1,253.36 and 403.03

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Solution

The fourth proportional to 836.79, 1,253.36 and 403.03 is: 603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.79 : 1,253.36 = 403.03 : x
  2. Step 2: Convert to fraction form
    836.79/1,253.36 = 403.03/x
  3. Step 3: Cross multiply
    836.79x = 1,253.36 × 403.03
  4. Step 4: Simplify right side
    836.79x = 505,141.99
  5. Step 5: Solve for x
    x = 505,141.99/836.79
  6. Step 6: Final answer
    x = 603.67

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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.