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Finding the Fourth Proportional to 967, 1,335.08 and 613.08

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Solution

The fourth proportional to 967, 1,335.08 and 613.08 is: 846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    967 : 1,335.08 = 613.08 : x
  2. Step 2: Convert to fraction form
    967/1,335.08 = 613.08/x
  3. Step 3: Cross multiply
    967x = 1,335.08 × 613.08
  4. Step 4: Simplify right side
    967x = 818,510.85
  5. Step 5: Solve for x
    x = 818,510.85/967
  6. Step 6: Final answer
    x = 846.44

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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.