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Finding the Fourth Proportional to 920.41, 1,270.26 and 547.48

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Solution

The fourth proportional to 920.41, 1,270.26 and 547.48 is: 755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.41 : 1,270.26 = 547.48 : x
  2. Step 2: Convert to fraction form
    920.41/1,270.26 = 547.48/x
  3. Step 3: Cross multiply
    920.41x = 1,270.26 × 547.48
  4. Step 4: Simplify right side
    920.41x = 695,441.94
  5. Step 5: Solve for x
    x = 695,441.94/920.41
  6. Step 6: Final answer
    x = 755.58

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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.