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Finding the Fourth Proportional to 656.10, 982.94 and 450.77

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Solution

The fourth proportional to 656.10, 982.94 and 450.77 is: 675.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.10 : 982.94 = 450.77 : x
  2. Step 2: Convert to fraction form
    656.10/982.94 = 450.77/x
  3. Step 3: Cross multiply
    656.10x = 982.94 × 450.77
  4. Step 4: Simplify right side
    656.10x = 443,072.70
  5. Step 5: Solve for x
    x = 443,072.70/656.10
  6. Step 6: Final answer
    x = 675.31

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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.