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Finding the Fourth Proportional to 996.92, 1,495.68 and 380.64

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Solution

The fourth proportional to 996.92, 1,495.68 and 380.64 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.92 : 1,495.68 = 380.64 : x
  2. Step 2: Convert to fraction form
    996.92/1,495.68 = 380.64/x
  3. Step 3: Cross multiply
    996.92x = 1,495.68 × 380.64
  4. Step 4: Simplify right side
    996.92x = 569,315.64
  5. Step 5: Solve for x
    x = 569,315.64/996.92
  6. Step 6: Final answer
    x = 571.07

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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.