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Finding the Fourth Proportional to 1,074.14, 1,612.10 and 1,066.04

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Solution

The fourth proportional to 1,074.14, 1,612.10 and 1,066.04 is: 1,599.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.14 : 1,612.10 = 1,066.04 : x
  2. Step 2: Convert to fraction form
    1,074.14/1,612.10 = 1,066.04/x
  3. Step 3: Cross multiply
    1,074.14x = 1,612.10 × 1,066.04
  4. Step 4: Simplify right side
    1,074.14x = 1,718,563.08
  5. Step 5: Solve for x
    x = 1,718,563.08/1,074.14
  6. Step 6: Final answer
    x = 1,599.94

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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.