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Finding the Fourth Proportional to 953.43, 1,427.64 and 519.67

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Solution

The fourth proportional to 953.43, 1,427.64 and 519.67 is: 778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.43 : 1,427.64 = 519.67 : x
  2. Step 2: Convert to fraction form
    953.43/1,427.64 = 519.67/x
  3. Step 3: Cross multiply
    953.43x = 1,427.64 × 519.67
  4. Step 4: Simplify right side
    953.43x = 741,901.68
  5. Step 5: Solve for x
    x = 741,901.68/953.43
  6. Step 6: Final answer
    x = 778.14

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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.