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Finding the Fourth Proportional to 767.73, 1,059.48 and 436.16

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Solution

The fourth proportional to 767.73, 1,059.48 and 436.16 is: 601.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.73 : 1,059.48 = 436.16 : x
  2. Step 2: Convert to fraction form
    767.73/1,059.48 = 436.16/x
  3. Step 3: Cross multiply
    767.73x = 1,059.48 × 436.16
  4. Step 4: Simplify right side
    767.73x = 462,102.80
  5. Step 5: Solve for x
    x = 462,102.80/767.73
  6. Step 6: Final answer
    x = 601.91

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