Home / 1,033.10-1,550.82-546.02

Finding the Fourth Proportional to 1,033.10, 1,550.82 and 546.02

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Solution

The fourth proportional to 1,033.10, 1,550.82 and 546.02 is: 819.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.10 : 1,550.82 = 546.02 : x
  2. Step 2: Convert to fraction form
    1,033.10/1,550.82 = 546.02/x
  3. Step 3: Cross multiply
    1,033.10x = 1,550.82 × 546.02
  4. Step 4: Simplify right side
    1,033.10x = 846,778.74
  5. Step 5: Solve for x
    x = 846,778.74/1,033.10
  6. Step 6: Final answer
    x = 819.65

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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.