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Finding the Fourth Proportional to 996.67, 1,495.14 and 347.23

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Solution

The fourth proportional to 996.67, 1,495.14 and 347.23 is: 520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.67 : 1,495.14 = 347.23 : x
  2. Step 2: Convert to fraction form
    996.67/1,495.14 = 347.23/x
  3. Step 3: Cross multiply
    996.67x = 1,495.14 × 347.23
  4. Step 4: Simplify right side
    996.67x = 519,157.46
  5. Step 5: Solve for x
    x = 519,157.46/996.67
  6. Step 6: Final answer
    x = 520.89

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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.