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Finding the Fourth Proportional to 1,418.08, 1,957.30 and 920.54

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Solution

The fourth proportional to 1,418.08, 1,957.30 and 920.54 is: 1,270.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.08 : 1,957.30 = 920.54 : x
  2. Step 2: Convert to fraction form
    1,418.08/1,957.30 = 920.54/x
  3. Step 3: Cross multiply
    1,418.08x = 1,957.30 × 920.54
  4. Step 4: Simplify right side
    1,418.08x = 1,801,772.94
  5. Step 5: Solve for x
    x = 1,801,772.94/1,418.08
  6. Step 6: Final answer
    x = 1,270.57

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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.