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Finding the Fourth Proportional to 909.92, 1,256.10 and 745.89

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Solution

The fourth proportional to 909.92, 1,256.10 and 745.89 is: 1,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.92 : 1,256.10 = 745.89 : x
  2. Step 2: Convert to fraction form
    909.92/1,256.10 = 745.89/x
  3. Step 3: Cross multiply
    909.92x = 1,256.10 × 745.89
  4. Step 4: Simplify right side
    909.92x = 936,910.56
  5. Step 5: Solve for x
    x = 936,910.56/909.92
  6. Step 6: Final answer
    x = 1,029.67

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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.