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Finding the Fourth Proportional to 962.54, 1,443.96 and 475.59

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Solution

The fourth proportional to 962.54, 1,443.96 and 475.59 is: 713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.54 : 1,443.96 = 475.59 : x
  2. Step 2: Convert to fraction form
    962.54/1,443.96 = 475.59/x
  3. Step 3: Cross multiply
    962.54x = 1,443.96 × 475.59
  4. Step 4: Simplify right side
    962.54x = 686,732.94
  5. Step 5: Solve for x
    x = 686,732.94/962.54
  6. Step 6: Final answer
    x = 713.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.