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Finding the Fourth Proportional to 945.81, 1,299.96 and 834.62

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Solution

The fourth proportional to 945.81, 1,299.96 and 834.62 is: 1,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.81 : 1,299.96 = 834.62 : x
  2. Step 2: Convert to fraction form
    945.81/1,299.96 = 834.62/x
  3. Step 3: Cross multiply
    945.81x = 1,299.96 × 834.62
  4. Step 4: Simplify right side
    945.81x = 1,084,966.12
  5. Step 5: Solve for x
    x = 1,084,966.12/945.81
  6. Step 6: Final answer
    x = 1,147.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.