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Finding the Fourth Proportional to 1,319.08, 1,974.96 and 668.45

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Solution

The fourth proportional to 1,319.08, 1,974.96 and 668.45 is: 1,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.08 : 1,974.96 = 668.45 : x
  2. Step 2: Convert to fraction form
    1,319.08/1,974.96 = 668.45/x
  3. Step 3: Cross multiply
    1,319.08x = 1,974.96 × 668.45
  4. Step 4: Simplify right side
    1,319.08x = 1,320,162.01
  5. Step 5: Solve for x
    x = 1,320,162.01/1,319.08
  6. Step 6: Final answer
    x = 1,000.82

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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.