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Finding the Fourth Proportional to 756.23, 1,133.70 and 345.22

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Solution

The fourth proportional to 756.23, 1,133.70 and 345.22 is: 517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.23 : 1,133.70 = 345.22 : x
  2. Step 2: Convert to fraction form
    756.23/1,133.70 = 345.22/x
  3. Step 3: Cross multiply
    756.23x = 1,133.70 × 345.22
  4. Step 4: Simplify right side
    756.23x = 391,375.91
  5. Step 5: Solve for x
    x = 391,375.91/756.23
  6. Step 6: Final answer
    x = 517.54

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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.