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Finding the Fourth Proportional to 967.64, 1,335.67 and 594.65

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Solution

The fourth proportional to 967.64, 1,335.67 and 594.65 is: 820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.64 : 1,335.67 = 594.65 : x
  2. Step 2: Convert to fraction form
    967.64/1,335.67 = 594.65/x
  3. Step 3: Cross multiply
    967.64x = 1,335.67 × 594.65
  4. Step 4: Simplify right side
    967.64x = 794,249.49
  5. Step 5: Solve for x
    x = 794,249.49/967.64
  6. Step 6: Final answer
    x = 820.82

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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.