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Finding the Fourth Proportional to 767.76, 1,059.54 and 436.22

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Solution

The fourth proportional to 767.76, 1,059.54 and 436.22 is: 601.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.76 : 1,059.54 = 436.22 : x
  2. Step 2: Convert to fraction form
    767.76/1,059.54 = 436.22/x
  3. Step 3: Cross multiply
    767.76x = 1,059.54 × 436.22
  4. Step 4: Simplify right side
    767.76x = 462,185.06
  5. Step 5: Solve for x
    x = 462,185.06/767.76
  6. Step 6: Final answer
    x = 601.99

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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.