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Finding the Fourth Proportional to 790.20, 1,185.34 and 546.52

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Solution

The fourth proportional to 790.20, 1,185.34 and 546.52 is: 819.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.20 : 1,185.34 = 546.52 : x
  2. Step 2: Convert to fraction form
    790.20/1,185.34 = 546.52/x
  3. Step 3: Cross multiply
    790.20x = 1,185.34 × 546.52
  4. Step 4: Simplify right side
    790.20x = 647,812.02
  5. Step 5: Solve for x
    x = 647,812.02/790.20
  6. Step 6: Final answer
    x = 819.81

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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.