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Finding the Fourth Proportional to 772.44, 1,064.42 and 655.80

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Solution

The fourth proportional to 772.44, 1,064.42 and 655.80 is: 903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.44 : 1,064.42 = 655.80 : x
  2. Step 2: Convert to fraction form
    772.44/1,064.42 = 655.80/x
  3. Step 3: Cross multiply
    772.44x = 1,064.42 × 655.80
  4. Step 4: Simplify right side
    772.44x = 698,046.64
  5. Step 5: Solve for x
    x = 698,046.64/772.44
  6. Step 6: Final answer
    x = 903.69

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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.