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Finding the Fourth Proportional to 747.92, 1,029.84 and 745.76

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Solution

The fourth proportional to 747.92, 1,029.84 and 745.76 is: 1,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.92 : 1,029.84 = 745.76 : x
  2. Step 2: Convert to fraction form
    747.92/1,029.84 = 745.76/x
  3. Step 3: Cross multiply
    747.92x = 1,029.84 × 745.76
  4. Step 4: Simplify right side
    747.92x = 768,013.48
  5. Step 5: Solve for x
    x = 768,013.48/747.92
  6. Step 6: Final answer
    x = 1,026.87

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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.