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Finding the Fourth Proportional to 949.69, 1,424.25 and 510.67

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Solution

The fourth proportional to 949.69, 1,424.25 and 510.67 is: 765.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.69 : 1,424.25 = 510.67 : x
  2. Step 2: Convert to fraction form
    949.69/1,424.25 = 510.67/x
  3. Step 3: Cross multiply
    949.69x = 1,424.25 × 510.67
  4. Step 4: Simplify right side
    949.69x = 727,321.75
  5. Step 5: Solve for x
    x = 727,321.75/949.69
  6. Step 6: Final answer
    x = 765.85

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