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Finding the Fourth Proportional to 1,145.96, 1,720.56 and 1,086.20

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Solution

The fourth proportional to 1,145.96, 1,720.56 and 1,086.20 is: 1,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.96 : 1,720.56 = 1,086.20 : x
  2. Step 2: Convert to fraction form
    1,145.96/1,720.56 = 1,086.20/x
  3. Step 3: Cross multiply
    1,145.96x = 1,720.56 × 1,086.20
  4. Step 4: Simplify right side
    1,145.96x = 1,868,872.27
  5. Step 5: Solve for x
    x = 1,868,872.27/1,145.96
  6. Step 6: Final answer
    x = 1,630.84

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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.