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Finding the Fourth Proportional to 1,467.75, 2,025.50 and 846.87

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Solution

The fourth proportional to 1,467.75, 2,025.50 and 846.87 is: 1,168.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.75 : 2,025.50 = 846.87 : x
  2. Step 2: Convert to fraction form
    1,467.75/2,025.50 = 846.87/x
  3. Step 3: Cross multiply
    1,467.75x = 2,025.50 × 846.87
  4. Step 4: Simplify right side
    1,467.75x = 1,715,330.95
  5. Step 5: Solve for x
    x = 1,715,330.95/1,467.75
  6. Step 6: Final answer
    x = 1,168.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.