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Finding the Fourth Proportional to 745.92, 1,027.80 and 496.80

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Solution

The fourth proportional to 745.92, 1,027.80 and 496.80 is: 684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.92 : 1,027.80 = 496.80 : x
  2. Step 2: Convert to fraction form
    745.92/1,027.80 = 496.80/x
  3. Step 3: Cross multiply
    745.92x = 1,027.80 × 496.80
  4. Step 4: Simplify right side
    745.92x = 510,611.04
  5. Step 5: Solve for x
    x = 510,611.04/745.92
  6. Step 6: Final answer
    x = 684.54

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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.