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Finding the Fourth Proportional to 962.24, 1,443.18 and 599.27

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Solution

The fourth proportional to 962.24, 1,443.18 and 599.27 is: 898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.24 : 1,443.18 = 599.27 : x
  2. Step 2: Convert to fraction form
    962.24/1,443.18 = 599.27/x
  3. Step 3: Cross multiply
    962.24x = 1,443.18 × 599.27
  4. Step 4: Simplify right side
    962.24x = 864,854.48
  5. Step 5: Solve for x
    x = 864,854.48/962.24
  6. Step 6: Final answer
    x = 898.79

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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.