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Finding the Fourth Proportional to 772.49, 1,066.28 and 615.41

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Solution

The fourth proportional to 772.49, 1,066.28 and 615.41 is: 849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.49 : 1,066.28 = 615.41 : x
  2. Step 2: Convert to fraction form
    772.49/1,066.28 = 615.41/x
  3. Step 3: Cross multiply
    772.49x = 1,066.28 × 615.41
  4. Step 4: Simplify right side
    772.49x = 656,195.58
  5. Step 5: Solve for x
    x = 656,195.58/772.49
  6. Step 6: Final answer
    x = 849.46

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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.