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Finding the Fourth Proportional to 772.57, 1,065.88 and 605.13

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Solution

The fourth proportional to 772.57, 1,065.88 and 605.13 is: 834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.57 : 1,065.88 = 605.13 : x
  2. Step 2: Convert to fraction form
    772.57/1,065.88 = 605.13/x
  3. Step 3: Cross multiply
    772.57x = 1,065.88 × 605.13
  4. Step 4: Simplify right side
    772.57x = 644,990.64
  5. Step 5: Solve for x
    x = 644,990.64/772.57
  6. Step 6: Final answer
    x = 834.86

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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.