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Finding the Fourth Proportional to 967.82, 1,335.61 and 594.58

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Solution

The fourth proportional to 967.82, 1,335.61 and 594.58 is: 820.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.82 : 1,335.61 = 594.58 : x
  2. Step 2: Convert to fraction form
    967.82/1,335.61 = 594.58/x
  3. Step 3: Cross multiply
    967.82x = 1,335.61 × 594.58
  4. Step 4: Simplify right side
    967.82x = 794,123.56
  5. Step 5: Solve for x
    x = 794,123.56/967.82
  6. Step 6: Final answer
    x = 820.53

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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.