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Finding the Fourth Proportional to 953.36, 1,431.65 and 832.67

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Solution

The fourth proportional to 953.36, 1,431.65 and 832.67 is: 1,250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.36 : 1,431.65 = 832.67 : x
  2. Step 2: Convert to fraction form
    953.36/1,431.65 = 832.67/x
  3. Step 3: Cross multiply
    953.36x = 1,431.65 × 832.67
  4. Step 4: Simplify right side
    953.36x = 1,192,092.01
  5. Step 5: Solve for x
    x = 1,192,092.01/953.36
  6. Step 6: Final answer
    x = 1,250.41

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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.