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Finding the Fourth Proportional to 960.17, 1,441.18 and 498.27

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Solution

The fourth proportional to 960.17, 1,441.18 and 498.27 is: 747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.17 : 1,441.18 = 498.27 : x
  2. Step 2: Convert to fraction form
    960.17/1,441.18 = 498.27/x
  3. Step 3: Cross multiply
    960.17x = 1,441.18 × 498.27
  4. Step 4: Simplify right side
    960.17x = 718,096.76
  5. Step 5: Solve for x
    x = 718,096.76/960.17
  6. Step 6: Final answer
    x = 747.89

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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.