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Finding the Fourth Proportional to 726.77, 1,090.19 and 341.75

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Solution

The fourth proportional to 726.77, 1,090.19 and 341.75 is: 512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.77 : 1,090.19 = 341.75 : x
  2. Step 2: Convert to fraction form
    726.77/1,090.19 = 341.75/x
  3. Step 3: Cross multiply
    726.77x = 1,090.19 × 341.75
  4. Step 4: Simplify right side
    726.77x = 372,570.72
  5. Step 5: Solve for x
    x = 372,570.72/726.77
  6. Step 6: Final answer
    x = 512.64

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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.