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Finding the Fourth Proportional to 772.26, 1,158.40 and 259.26

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Solution

The fourth proportional to 772.26, 1,158.40 and 259.26 is: 388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.26 : 1,158.40 = 259.26 : x
  2. Step 2: Convert to fraction form
    772.26/1,158.40 = 259.26/x
  3. Step 3: Cross multiply
    772.26x = 1,158.40 × 259.26
  4. Step 4: Simplify right side
    772.26x = 300,326.78
  5. Step 5: Solve for x
    x = 300,326.78/772.26
  6. Step 6: Final answer
    x = 388.89

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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.