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Finding the Fourth Proportional to 772.56, 1,065.96 and 436.43

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Solution

The fourth proportional to 772.56, 1,065.96 and 436.43 is: 602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.56 : 1,065.96 = 436.43 : x
  2. Step 2: Convert to fraction form
    772.56/1,065.96 = 436.43/x
  3. Step 3: Cross multiply
    772.56x = 1,065.96 × 436.43
  4. Step 4: Simplify right side
    772.56x = 465,211.59
  5. Step 5: Solve for x
    x = 465,211.59/772.56
  6. Step 6: Final answer
    x = 602.17

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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.