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Finding the Fourth Proportional to 1,264.35, 1,745.88 and 793.04

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Solution

The fourth proportional to 1,264.35, 1,745.88 and 793.04 is: 1,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.35 : 1,745.88 = 793.04 : x
  2. Step 2: Convert to fraction form
    1,264.35/1,745.88 = 793.04/x
  3. Step 3: Cross multiply
    1,264.35x = 1,745.88 × 793.04
  4. Step 4: Simplify right side
    1,264.35x = 1,384,552.68
  5. Step 5: Solve for x
    x = 1,384,552.68/1,264.35
  6. Step 6: Final answer
    x = 1,095.07

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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.