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Finding the Fourth Proportional to 890.43, 1,334.62 and 342.37

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Solution

The fourth proportional to 890.43, 1,334.62 and 342.37 is: 513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.43 : 1,334.62 = 342.37 : x
  2. Step 2: Convert to fraction form
    890.43/1,334.62 = 342.37/x
  3. Step 3: Cross multiply
    890.43x = 1,334.62 × 342.37
  4. Step 4: Simplify right side
    890.43x = 456,933.85
  5. Step 5: Solve for x
    x = 456,933.85/890.43
  6. Step 6: Final answer
    x = 513.16

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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.