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Finding the Fourth Proportional to 1,264.65, 1,745.25 and 767.22

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Solution

The fourth proportional to 1,264.65, 1,745.25 and 767.22 is: 1,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.65 : 1,745.25 = 767.22 : x
  2. Step 2: Convert to fraction form
    1,264.65/1,745.25 = 767.22/x
  3. Step 3: Cross multiply
    1,264.65x = 1,745.25 × 767.22
  4. Step 4: Simplify right side
    1,264.65x = 1,338,990.71
  5. Step 5: Solve for x
    x = 1,338,990.71/1,264.65
  6. Step 6: Final answer
    x = 1,058.78

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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.