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Finding the Fourth Proportional to 1,153.80, 1,728.72 and 720

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Solution

The fourth proportional to 1,153.80, 1,728.72 and 720 is: 1,078.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.80 : 1,728.72 = 720 : x
  2. Step 2: Convert to fraction form
    1,153.80/1,728.72 = 720/x
  3. Step 3: Cross multiply
    1,153.80x = 1,728.72 × 720
  4. Step 4: Simplify right side
    1,153.80x = 1,244,678.40
  5. Step 5: Solve for x
    x = 1,244,678.40/1,153.80
  6. Step 6: Final answer
    x = 1,078.76

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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.