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Finding the Fourth Proportional to 920.56, 1,270.26 and 547.66

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Solution

The fourth proportional to 920.56, 1,270.26 and 547.66 is: 755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.56 : 1,270.26 = 547.66 : x
  2. Step 2: Convert to fraction form
    920.56/1,270.26 = 547.66/x
  3. Step 3: Cross multiply
    920.56x = 1,270.26 × 547.66
  4. Step 4: Simplify right side
    920.56x = 695,669.47
  5. Step 5: Solve for x
    x = 695,669.47/920.56
  6. Step 6: Final answer
    x = 755.70

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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.