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Finding the Fourth Proportional to 767.69, 1,059.41 and 436.05

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Solution

The fourth proportional to 767.69, 1,059.41 and 436.05 is: 601.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.69 : 1,059.41 = 436.05 : x
  2. Step 2: Convert to fraction form
    767.69/1,059.41 = 436.05/x
  3. Step 3: Cross multiply
    767.69x = 1,059.41 × 436.05
  4. Step 4: Simplify right side
    767.69x = 461,954.49
  5. Step 5: Solve for x
    x = 461,954.49/767.69
  6. Step 6: Final answer
    x = 601.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.