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Finding the Fourth Proportional to 967.75, 1,336.19 and 595.23

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Solution

The fourth proportional to 967.75, 1,336.19 and 595.23 is: 821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.75 : 1,336.19 = 595.23 : x
  2. Step 2: Convert to fraction form
    967.75/1,336.19 = 595.23/x
  3. Step 3: Cross multiply
    967.75x = 1,336.19 × 595.23
  4. Step 4: Simplify right side
    967.75x = 795,332.39
  5. Step 5: Solve for x
    x = 795,332.39/967.75
  6. Step 6: Final answer
    x = 821.84

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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.