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Finding the Fourth Proportional to 861.02, 1,289.03 and 656.39

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Solution

The fourth proportional to 861.02, 1,289.03 and 656.39 is: 982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.02 : 1,289.03 = 656.39 : x
  2. Step 2: Convert to fraction form
    861.02/1,289.03 = 656.39/x
  3. Step 3: Cross multiply
    861.02x = 1,289.03 × 656.39
  4. Step 4: Simplify right side
    861.02x = 846,096.67
  5. Step 5: Solve for x
    x = 846,096.67/861.02
  6. Step 6: Final answer
    x = 982.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.