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Finding the Fourth Proportional to 772.88, 1,158.97 and 480.37

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Solution

The fourth proportional to 772.88, 1,158.97 and 480.37 is: 720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.88 : 1,158.97 = 480.37 : x
  2. Step 2: Convert to fraction form
    772.88/1,158.97 = 480.37/x
  3. Step 3: Cross multiply
    772.88x = 1,158.97 × 480.37
  4. Step 4: Simplify right side
    772.88x = 556,734.42
  5. Step 5: Solve for x
    x = 556,734.42/772.88
  6. Step 6: Final answer
    x = 720.34

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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.