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Finding the Fourth Proportional to 1,670.18, 2,504.85 and 629.88

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Solution

The fourth proportional to 1,670.18, 2,504.85 and 629.88 is: 944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.18 : 2,504.85 = 629.88 : x
  2. Step 2: Convert to fraction form
    1,670.18/2,504.85 = 629.88/x
  3. Step 3: Cross multiply
    1,670.18x = 2,504.85 × 629.88
  4. Step 4: Simplify right side
    1,670.18x = 1,577,745.52
  5. Step 5: Solve for x
    x = 1,577,745.52/1,670.18
  6. Step 6: Final answer
    x = 944.65

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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.