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Finding the Fourth Proportional to 962.71, 1,443.90 and 442.69

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Solution

The fourth proportional to 962.71, 1,443.90 and 442.69 is: 663.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.71 : 1,443.90 = 442.69 : x
  2. Step 2: Convert to fraction form
    962.71/1,443.90 = 442.69/x
  3. Step 3: Cross multiply
    962.71x = 1,443.90 × 442.69
  4. Step 4: Simplify right side
    962.71x = 639,198.14
  5. Step 5: Solve for x
    x = 639,198.14/962.71
  6. Step 6: Final answer
    x = 663.96

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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.