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Finding the Fourth Proportional to 772.83, 1,159.25 and 259.83

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Solution

The fourth proportional to 772.83, 1,159.25 and 259.83 is: 389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.83 : 1,159.25 = 259.83 : x
  2. Step 2: Convert to fraction form
    772.83/1,159.25 = 259.83/x
  3. Step 3: Cross multiply
    772.83x = 1,159.25 × 259.83
  4. Step 4: Simplify right side
    772.83x = 301,206.63
  5. Step 5: Solve for x
    x = 301,206.63/772.83
  6. Step 6: Final answer
    x = 389.75

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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.