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Finding the Fourth Proportional to 720, 1,080 and 264

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Solution

The fourth proportional to 720, 1,080 and 264 is: 396

Step by Step Solution

  1. Step 1: Write the proportion equation
    720 : 1,080 = 264 : x
  2. Step 2: Convert to fraction form
    720/1,080 = 264/x
  3. Step 3: Cross multiply
    720x = 1,080 × 264
  4. Step 4: Simplify right side
    720x = 285,120
  5. Step 5: Solve for x
    x = 285,120/720
  6. Step 6: Final answer
    x = 396

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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.