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Finding the Fourth Proportional to 976.46, 1,466.69 and 830.41

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Solution

The fourth proportional to 976.46, 1,466.69 and 830.41 is: 1,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.46 : 1,466.69 = 830.41 : x
  2. Step 2: Convert to fraction form
    976.46/1,466.69 = 830.41/x
  3. Step 3: Cross multiply
    976.46x = 1,466.69 × 830.41
  4. Step 4: Simplify right side
    976.46x = 1,217,946.22
  5. Step 5: Solve for x
    x = 1,217,946.22/976.46
  6. Step 6: Final answer
    x = 1,247.31

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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.