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Finding the Fourth Proportional to 777, 1,072.29 and 466.68

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Solution

The fourth proportional to 777, 1,072.29 and 466.68 is: 644.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    777 : 1,072.29 = 466.68 : x
  2. Step 2: Convert to fraction form
    777/1,072.29 = 466.68/x
  3. Step 3: Cross multiply
    777x = 1,072.29 × 466.68
  4. Step 4: Simplify right side
    777x = 500,416.30
  5. Step 5: Solve for x
    x = 500,416.30/777
  6. Step 6: Final answer
    x = 644.04

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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.