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Finding the Fourth Proportional to 723.88, 999.03 and 461.85

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Solution

The fourth proportional to 723.88, 999.03 and 461.85 is: 637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.88 : 999.03 = 461.85 : x
  2. Step 2: Convert to fraction form
    723.88/999.03 = 461.85/x
  3. Step 3: Cross multiply
    723.88x = 999.03 × 461.85
  4. Step 4: Simplify right side
    723.88x = 461,402.01
  5. Step 5: Solve for x
    x = 461,402.01/723.88
  6. Step 6: Final answer
    x = 637.40

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