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Finding the Fourth Proportional to 982.35, 1,354.89 and 609.52

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Solution

The fourth proportional to 982.35, 1,354.89 and 609.52 is: 840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.35 : 1,354.89 = 609.52 : x
  2. Step 2: Convert to fraction form
    982.35/1,354.89 = 609.52/x
  3. Step 3: Cross multiply
    982.35x = 1,354.89 × 609.52
  4. Step 4: Simplify right side
    982.35x = 825,832.55
  5. Step 5: Solve for x
    x = 825,832.55/982.35
  6. Step 6: Final answer
    x = 840.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.