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Finding the Fourth Proportional to 963.94, 1,447.23 and 502.02

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Solution

The fourth proportional to 963.94, 1,447.23 and 502.02 is: 753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.94 : 1,447.23 = 502.02 : x
  2. Step 2: Convert to fraction form
    963.94/1,447.23 = 502.02/x
  3. Step 3: Cross multiply
    963.94x = 1,447.23 × 502.02
  4. Step 4: Simplify right side
    963.94x = 726,538.40
  5. Step 5: Solve for x
    x = 726,538.40/963.94
  6. Step 6: Final answer
    x = 753.72

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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.