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Finding the Fourth Proportional to 967.65, 1,333.94 and 834.29

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Solution

The fourth proportional to 967.65, 1,333.94 and 834.29 is: 1,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.65 : 1,333.94 = 834.29 : x
  2. Step 2: Convert to fraction form
    967.65/1,333.94 = 834.29/x
  3. Step 3: Cross multiply
    967.65x = 1,333.94 × 834.29
  4. Step 4: Simplify right side
    967.65x = 1,112,881.96
  5. Step 5: Solve for x
    x = 1,112,881.96/967.65
  6. Step 6: Final answer
    x = 1,150.09

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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.