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Finding the Fourth Proportional to 663.94, 994.08 and 501.13

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Solution

The fourth proportional to 663.94, 994.08 and 501.13 is: 750.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.94 : 994.08 = 501.13 : x
  2. Step 2: Convert to fraction form
    663.94/994.08 = 501.13/x
  3. Step 3: Cross multiply
    663.94x = 994.08 × 501.13
  4. Step 4: Simplify right side
    663.94x = 498,163.31
  5. Step 5: Solve for x
    x = 498,163.31/663.94
  6. Step 6: Final answer
    x = 750.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.