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Finding the Fourth Proportional to 926.85, 1,389.76 and 634.68

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Solution

The fourth proportional to 926.85, 1,389.76 and 634.68 is: 951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.85 : 1,389.76 = 634.68 : x
  2. Step 2: Convert to fraction form
    926.85/1,389.76 = 634.68/x
  3. Step 3: Cross multiply
    926.85x = 1,389.76 × 634.68
  4. Step 4: Simplify right side
    926.85x = 882,049.70
  5. Step 5: Solve for x
    x = 882,049.70/926.85
  6. Step 6: Final answer
    x = 951.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.