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Finding the Fourth Proportional to 724.14, 999.03 and 491.46

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Solution

The fourth proportional to 724.14, 999.03 and 491.46 is: 678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 999.03 = 491.46 : x
  2. Step 2: Convert to fraction form
    724.14/999.03 = 491.46/x
  3. Step 3: Cross multiply
    724.14x = 999.03 × 491.46
  4. Step 4: Simplify right side
    724.14x = 490,983.28
  5. Step 5: Solve for x
    x = 490,983.28/724.14
  6. Step 6: Final answer
    x = 678.02

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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.