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Finding the Fourth Proportional to 918.48, 1,376.25 and 825.23

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Solution

The fourth proportional to 918.48, 1,376.25 and 825.23 is: 1,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.48 : 1,376.25 = 825.23 : x
  2. Step 2: Convert to fraction form
    918.48/1,376.25 = 825.23/x
  3. Step 3: Cross multiply
    918.48x = 1,376.25 × 825.23
  4. Step 4: Simplify right side
    918.48x = 1,135,711.78
  5. Step 5: Solve for x
    x = 1,135,711.78/918.48
  6. Step 6: Final answer
    x = 1,236.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.