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Finding the Fourth Proportional to 962.67, 1,443.65 and 414.81

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Solution

The fourth proportional to 962.67, 1,443.65 and 414.81 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.67 : 1,443.65 = 414.81 : x
  2. Step 2: Convert to fraction form
    962.67/1,443.65 = 414.81/x
  3. Step 3: Cross multiply
    962.67x = 1,443.65 × 414.81
  4. Step 4: Simplify right side
    962.67x = 598,838.38
  5. Step 5: Solve for x
    x = 598,838.38/962.67
  6. Step 6: Final answer
    x = 622.06

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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.