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Finding the Fourth Proportional to 726.91, 1,090.46 and 316.24

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Solution

The fourth proportional to 726.91, 1,090.46 and 316.24 is: 474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.91 : 1,090.46 = 316.24 : x
  2. Step 2: Convert to fraction form
    726.91/1,090.46 = 316.24/x
  3. Step 3: Cross multiply
    726.91x = 1,090.46 × 316.24
  4. Step 4: Simplify right side
    726.91x = 344,845.13
  5. Step 5: Solve for x
    x = 344,845.13/726.91
  6. Step 6: Final answer
    x = 474.40

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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.