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Finding the Fourth Proportional to 1,317.35, 1,975.98 and 451.67

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Solution

The fourth proportional to 1,317.35, 1,975.98 and 451.67 is: 677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.35 : 1,975.98 = 451.67 : x
  2. Step 2: Convert to fraction form
    1,317.35/1,975.98 = 451.67/x
  3. Step 3: Cross multiply
    1,317.35x = 1,975.98 × 451.67
  4. Step 4: Simplify right side
    1,317.35x = 892,481.01
  5. Step 5: Solve for x
    x = 892,481.01/1,317.35
  6. Step 6: Final answer
    x = 677.48

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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.