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Finding the Fourth Proportional to 964.26, 1,445.76 and 720.68

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Solution

The fourth proportional to 964.26, 1,445.76 and 720.68 is: 1,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.26 : 1,445.76 = 720.68 : x
  2. Step 2: Convert to fraction form
    964.26/1,445.76 = 720.68/x
  3. Step 3: Cross multiply
    964.26x = 1,445.76 × 720.68
  4. Step 4: Simplify right side
    964.26x = 1,041,923.09
  5. Step 5: Solve for x
    x = 1,041,923.09/964.26
  6. Step 6: Final answer
    x = 1,080.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.