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Finding the Fourth Proportional to 745.92, 1,027.08 and 743.76

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Solution

The fourth proportional to 745.92, 1,027.08 and 743.76 is: 1,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.92 : 1,027.08 = 743.76 : x
  2. Step 2: Convert to fraction form
    745.92/1,027.08 = 743.76/x
  3. Step 3: Cross multiply
    745.92x = 1,027.08 × 743.76
  4. Step 4: Simplify right side
    745.92x = 763,901.02
  5. Step 5: Solve for x
    x = 763,901.02/745.92
  6. Step 6: Final answer
    x = 1,024.11

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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.