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Finding the Fourth Proportional to 726.50, 1,090.23 and 341.78

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Solution

The fourth proportional to 726.50, 1,090.23 and 341.78 is: 512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.50 : 1,090.23 = 341.78 : x
  2. Step 2: Convert to fraction form
    726.50/1,090.23 = 341.78/x
  3. Step 3: Cross multiply
    726.50x = 1,090.23 × 341.78
  4. Step 4: Simplify right side
    726.50x = 372,618.81
  5. Step 5: Solve for x
    x = 372,618.81/726.50
  6. Step 6: Final answer
    x = 512.90

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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.