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Finding the Fourth Proportional to 774.54, 1,161.80 and 287.59

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Solution

The fourth proportional to 774.54, 1,161.80 and 287.59 is: 431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.54 : 1,161.80 = 287.59 : x
  2. Step 2: Convert to fraction form
    774.54/1,161.80 = 287.59/x
  3. Step 3: Cross multiply
    774.54x = 1,161.80 × 287.59
  4. Step 4: Simplify right side
    774.54x = 334,116.25
  5. Step 5: Solve for x
    x = 334,116.25/774.54
  6. Step 6: Final answer
    x = 431.37

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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.