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Finding the Fourth Proportional to 1,216.66, 1,673.58 and 1,066.54

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Solution

The fourth proportional to 1,216.66, 1,673.58 and 1,066.54 is: 1,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.66 : 1,673.58 = 1,066.54 : x
  2. Step 2: Convert to fraction form
    1,216.66/1,673.58 = 1,066.54/x
  3. Step 3: Cross multiply
    1,216.66x = 1,673.58 × 1,066.54
  4. Step 4: Simplify right side
    1,216.66x = 1,784,940.01
  5. Step 5: Solve for x
    x = 1,784,940.01/1,216.66
  6. Step 6: Final answer
    x = 1,467.08

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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.