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Finding the Fourth Proportional to 670.44, 1,004.28 and 488.22

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Solution

The fourth proportional to 670.44, 1,004.28 and 488.22 is: 731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.44 : 1,004.28 = 488.22 : x
  2. Step 2: Convert to fraction form
    670.44/1,004.28 = 488.22/x
  3. Step 3: Cross multiply
    670.44x = 1,004.28 × 488.22
  4. Step 4: Simplify right side
    670.44x = 490,309.58
  5. Step 5: Solve for x
    x = 490,309.58/670.44
  6. Step 6: Final answer
    x = 731.33

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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.