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Finding the Fourth Proportional to 956.28, 1,433.16 and 492.96

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Solution

The fourth proportional to 956.28, 1,433.16 and 492.96 is: 738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.28 : 1,433.16 = 492.96 : x
  2. Step 2: Convert to fraction form
    956.28/1,433.16 = 492.96/x
  3. Step 3: Cross multiply
    956.28x = 1,433.16 × 492.96
  4. Step 4: Simplify right side
    956.28x = 706,490.55
  5. Step 5: Solve for x
    x = 706,490.55/956.28
  6. Step 6: Final answer
    x = 738.79

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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.