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Finding the Fourth Proportional to 1,033.86, 1,551.09 and 546.85

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Solution

The fourth proportional to 1,033.86, 1,551.09 and 546.85 is: 820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.86 : 1,551.09 = 546.85 : x
  2. Step 2: Convert to fraction form
    1,033.86/1,551.09 = 546.85/x
  3. Step 3: Cross multiply
    1,033.86x = 1,551.09 × 546.85
  4. Step 4: Simplify right side
    1,033.86x = 848,205.81
  5. Step 5: Solve for x
    x = 848,205.81/1,033.86
  6. Step 6: Final answer
    x = 820.43

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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.