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Finding the Fourth Proportional to 772.99, 1,160.24 and 362.41

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Solution

The fourth proportional to 772.99, 1,160.24 and 362.41 is: 543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.99 : 1,160.24 = 362.41 : x
  2. Step 2: Convert to fraction form
    772.99/1,160.24 = 362.41/x
  3. Step 3: Cross multiply
    772.99x = 1,160.24 × 362.41
  4. Step 4: Simplify right side
    772.99x = 420,477.87
  5. Step 5: Solve for x
    x = 420,477.87/772.99
  6. Step 6: Final answer
    x = 543.96

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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.