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Finding the Fourth Proportional to 1,154.20, 1,727.90 and 720.04

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Solution

The fourth proportional to 1,154.20, 1,727.90 and 720.04 is: 1,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.20 : 1,727.90 = 720.04 : x
  2. Step 2: Convert to fraction form
    1,154.20/1,727.90 = 720.04/x
  3. Step 3: Cross multiply
    1,154.20x = 1,727.90 × 720.04
  4. Step 4: Simplify right side
    1,154.20x = 1,244,157.12
  5. Step 5: Solve for x
    x = 1,244,157.12/1,154.20
  6. Step 6: Final answer
    x = 1,077.94

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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.