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Finding the Fourth Proportional to 962.08, 1,443.57 and 523.31

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Solution

The fourth proportional to 962.08, 1,443.57 and 523.31 is: 785.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.08 : 1,443.57 = 523.31 : x
  2. Step 2: Convert to fraction form
    962.08/1,443.57 = 523.31/x
  3. Step 3: Cross multiply
    962.08x = 1,443.57 × 523.31
  4. Step 4: Simplify right side
    962.08x = 755,436.50
  5. Step 5: Solve for x
    x = 755,436.50/962.08
  6. Step 6: Final answer
    x = 785.21

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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.