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Finding the Fourth Proportional to 726.85, 1,090.17 and 293.91

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Solution

The fourth proportional to 726.85, 1,090.17 and 293.91 is: 440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.85 : 1,090.17 = 293.91 : x
  2. Step 2: Convert to fraction form
    726.85/1,090.17 = 293.91/x
  3. Step 3: Cross multiply
    726.85x = 1,090.17 × 293.91
  4. Step 4: Simplify right side
    726.85x = 320,411.86
  5. Step 5: Solve for x
    x = 320,411.86/726.85
  6. Step 6: Final answer
    x = 440.82

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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.