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Finding the Fourth Proportional to 968.26, 1,336.24 and 595.17

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Solution

The fourth proportional to 968.26, 1,336.24 and 595.17 is: 821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.26 : 1,336.24 = 595.17 : x
  2. Step 2: Convert to fraction form
    968.26/1,336.24 = 595.17/x
  3. Step 3: Cross multiply
    968.26x = 1,336.24 × 595.17
  4. Step 4: Simplify right side
    968.26x = 795,289.96
  5. Step 5: Solve for x
    x = 795,289.96/968.26
  6. Step 6: Final answer
    x = 821.36

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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.