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Finding the Fourth Proportional to 967.37, 1,335.30 and 594.37

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Solution

The fourth proportional to 967.37, 1,335.30 and 594.37 is: 820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.37 : 1,335.30 = 594.37 : x
  2. Step 2: Convert to fraction form
    967.37/1,335.30 = 594.37/x
  3. Step 3: Cross multiply
    967.37x = 1,335.30 × 594.37
  4. Step 4: Simplify right side
    967.37x = 793,655.58
  5. Step 5: Solve for x
    x = 793,655.58/967.37
  6. Step 6: Final answer
    x = 820.43

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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.