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Finding the Fourth Proportional to 767.77, 1,059.66 and 436.33

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Solution

The fourth proportional to 767.77, 1,059.66 and 436.33 is: 602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.77 : 1,059.66 = 436.33 : x
  2. Step 2: Convert to fraction form
    767.77/1,059.66 = 436.33/x
  3. Step 3: Cross multiply
    767.77x = 1,059.66 × 436.33
  4. Step 4: Simplify right side
    767.77x = 462,361.45
  5. Step 5: Solve for x
    x = 462,361.45/767.77
  6. Step 6: Final answer
    x = 602.21

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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.