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Finding the Fourth Proportional to 1,264.58, 1,745.24 and 767.35

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Solution

The fourth proportional to 1,264.58, 1,745.24 and 767.35 is: 1,059.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.58 : 1,745.24 = 767.35 : x
  2. Step 2: Convert to fraction form
    1,264.58/1,745.24 = 767.35/x
  3. Step 3: Cross multiply
    1,264.58x = 1,745.24 × 767.35
  4. Step 4: Simplify right side
    1,264.58x = 1,339,197.35
  5. Step 5: Solve for x
    x = 1,339,197.35/1,264.58
  6. Step 6: Final answer
    x = 1,059.01

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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.