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Finding the Fourth Proportional to 963.08, 1,444.74 and 499.58

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Solution

The fourth proportional to 963.08, 1,444.74 and 499.58 is: 749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.08 : 1,444.74 = 499.58 : x
  2. Step 2: Convert to fraction form
    963.08/1,444.74 = 499.58/x
  3. Step 3: Cross multiply
    963.08x = 1,444.74 × 499.58
  4. Step 4: Simplify right side
    963.08x = 721,763.21
  5. Step 5: Solve for x
    x = 721,763.21/963.08
  6. Step 6: Final answer
    x = 749.43

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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.