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Finding the Fourth Proportional to 920.33, 1,269.64 and 547.11

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Solution

The fourth proportional to 920.33, 1,269.64 and 547.11 is: 754.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.33 : 1,269.64 = 547.11 : x
  2. Step 2: Convert to fraction form
    920.33/1,269.64 = 547.11/x
  3. Step 3: Cross multiply
    920.33x = 1,269.64 × 547.11
  4. Step 4: Simplify right side
    920.33x = 694,632.74
  5. Step 5: Solve for x
    x = 694,632.74/920.33
  6. Step 6: Final answer
    x = 754.76

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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.