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Finding the Fourth Proportional to 720.45, 1,079.37 and 446.40

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Solution

The fourth proportional to 720.45, 1,079.37 and 446.40 is: 668.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.45 : 1,079.37 = 446.40 : x
  2. Step 2: Convert to fraction form
    720.45/1,079.37 = 446.40/x
  3. Step 3: Cross multiply
    720.45x = 1,079.37 × 446.40
  4. Step 4: Simplify right side
    720.45x = 481,830.77
  5. Step 5: Solve for x
    x = 481,830.77/720.45
  6. Step 6: Final answer
    x = 668.79

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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.