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Finding the Fourth Proportional to 956.44, 1,433.41 and 832.51

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Solution

The fourth proportional to 956.44, 1,433.41 and 832.51 is: 1,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.44 : 1,433.41 = 832.51 : x
  2. Step 2: Convert to fraction form
    956.44/1,433.41 = 832.51/x
  3. Step 3: Cross multiply
    956.44x = 1,433.41 × 832.51
  4. Step 4: Simplify right side
    956.44x = 1,193,328.16
  5. Step 5: Solve for x
    x = 1,193,328.16/956.44
  6. Step 6: Final answer
    x = 1,247.68

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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.