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Finding the Fourth Proportional to 772.52, 1,159.04 and 259.52

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Solution

The fourth proportional to 772.52, 1,159.04 and 259.52 is: 389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.52 : 1,159.04 = 259.52 : x
  2. Step 2: Convert to fraction form
    772.52/1,159.04 = 259.52/x
  3. Step 3: Cross multiply
    772.52x = 1,159.04 × 259.52
  4. Step 4: Simplify right side
    772.52x = 300,794.06
  5. Step 5: Solve for x
    x = 300,794.06/772.52
  6. Step 6: Final answer
    x = 389.37

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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.