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Finding the Fourth Proportional to 772.07, 1,157.83 and 224.14

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Solution

The fourth proportional to 772.07, 1,157.83 and 224.14 is: 336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.07 : 1,157.83 = 224.14 : x
  2. Step 2: Convert to fraction form
    772.07/1,157.83 = 224.14/x
  3. Step 3: Cross multiply
    772.07x = 1,157.83 × 224.14
  4. Step 4: Simplify right side
    772.07x = 259,513.40
  5. Step 5: Solve for x
    x = 259,513.40/772.07
  6. Step 6: Final answer
    x = 336.13

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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.