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Finding the Fourth Proportional to 962.89, 1,443.42 and 499.77

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Solution

The fourth proportional to 962.89, 1,443.42 and 499.77 is: 749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.89 : 1,443.42 = 499.77 : x
  2. Step 2: Convert to fraction form
    962.89/1,443.42 = 499.77/x
  3. Step 3: Cross multiply
    962.89x = 1,443.42 × 499.77
  4. Step 4: Simplify right side
    962.89x = 721,378.01
  5. Step 5: Solve for x
    x = 721,378.01/962.89
  6. Step 6: Final answer
    x = 749.18

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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.