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Finding the Fourth Proportional to 912.33, 1,376.08 and 817.29

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Solution

The fourth proportional to 912.33, 1,376.08 and 817.29 is: 1,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.33 : 1,376.08 = 817.29 : x
  2. Step 2: Convert to fraction form
    912.33/1,376.08 = 817.29/x
  3. Step 3: Cross multiply
    912.33x = 1,376.08 × 817.29
  4. Step 4: Simplify right side
    912.33x = 1,124,654.38
  5. Step 5: Solve for x
    x = 1,124,654.38/912.33
  6. Step 6: Final answer
    x = 1,232.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.