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Finding the Fourth Proportional to 738.50, 1,019.37 and 427.94

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Solution

The fourth proportional to 738.50, 1,019.37 and 427.94 is: 590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.50 : 1,019.37 = 427.94 : x
  2. Step 2: Convert to fraction form
    738.50/1,019.37 = 427.94/x
  3. Step 3: Cross multiply
    738.50x = 1,019.37 × 427.94
  4. Step 4: Simplify right side
    738.50x = 436,229.20
  5. Step 5: Solve for x
    x = 436,229.20/738.50
  6. Step 6: Final answer
    x = 590.70

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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.