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Finding the Fourth Proportional to 952.91, 1,429.22 and 465.83

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Solution

The fourth proportional to 952.91, 1,429.22 and 465.83 is: 698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.91 : 1,429.22 = 465.83 : x
  2. Step 2: Convert to fraction form
    952.91/1,429.22 = 465.83/x
  3. Step 3: Cross multiply
    952.91x = 1,429.22 × 465.83
  4. Step 4: Simplify right side
    952.91x = 665,767.57
  5. Step 5: Solve for x
    x = 665,767.57/952.91
  6. Step 6: Final answer
    x = 698.67

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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.