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Finding the Fourth Proportional to 723.13, 997.99 and 461.13

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Solution

The fourth proportional to 723.13, 997.99 and 461.13 is: 636.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.13 : 997.99 = 461.13 : x
  2. Step 2: Convert to fraction form
    723.13/997.99 = 461.13/x
  3. Step 3: Cross multiply
    723.13x = 997.99 × 461.13
  4. Step 4: Simplify right side
    723.13x = 460,203.13
  5. Step 5: Solve for x
    x = 460,203.13/723.13
  6. Step 6: Final answer
    x = 636.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.