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Finding the Fourth Proportional to 996.11, 1,494.26 and 346.69

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Solution

The fourth proportional to 996.11, 1,494.26 and 346.69 is: 520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.11 : 1,494.26 = 346.69 : x
  2. Step 2: Convert to fraction form
    996.11/1,494.26 = 346.69/x
  3. Step 3: Cross multiply
    996.11x = 1,494.26 × 346.69
  4. Step 4: Simplify right side
    996.11x = 518,045.00
  5. Step 5: Solve for x
    x = 518,045.00/996.11
  6. Step 6: Final answer
    x = 520.07

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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.