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Finding the Fourth Proportional to 962.27, 1,328.26 and 598.75

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Solution

The fourth proportional to 962.27, 1,328.26 and 598.75 is: 826.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.27 : 1,328.26 = 598.75 : x
  2. Step 2: Convert to fraction form
    962.27/1,328.26 = 598.75/x
  3. Step 3: Cross multiply
    962.27x = 1,328.26 × 598.75
  4. Step 4: Simplify right side
    962.27x = 795,295.68
  5. Step 5: Solve for x
    x = 795,295.68/962.27
  6. Step 6: Final answer
    x = 826.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.