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Finding the Fourth Proportional to 1,264.99, 1,745.14 and 767.44

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Solution

The fourth proportional to 1,264.99, 1,745.14 and 767.44 is: 1,058.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.99 : 1,745.14 = 767.44 : x
  2. Step 2: Convert to fraction form
    1,264.99/1,745.14 = 767.44/x
  3. Step 3: Cross multiply
    1,264.99x = 1,745.14 × 767.44
  4. Step 4: Simplify right side
    1,264.99x = 1,339,290.24
  5. Step 5: Solve for x
    x = 1,339,290.24/1,264.99
  6. Step 6: Final answer
    x = 1,058.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.