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Finding the Fourth Proportional to 738.50, 1,019.32 and 490.22

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Solution

The fourth proportional to 738.50, 1,019.32 and 490.22 is: 676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.50 : 1,019.32 = 490.22 : x
  2. Step 2: Convert to fraction form
    738.50/1,019.32 = 490.22/x
  3. Step 3: Cross multiply
    738.50x = 1,019.32 × 490.22
  4. Step 4: Simplify right side
    738.50x = 499,691.05
  5. Step 5: Solve for x
    x = 499,691.05/738.50
  6. Step 6: Final answer
    x = 676.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.