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Finding the Fourth Proportional to 967.85, 1,335.12 and 613.15

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Solution

The fourth proportional to 967.85, 1,335.12 and 613.15 is: 845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.85 : 1,335.12 = 613.15 : x
  2. Step 2: Convert to fraction form
    967.85/1,335.12 = 613.15/x
  3. Step 3: Cross multiply
    967.85x = 1,335.12 × 613.15
  4. Step 4: Simplify right side
    967.85x = 818,622.15
  5. Step 5: Solve for x
    x = 818,622.15/967.85
  6. Step 6: Final answer
    x = 845.82

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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.