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Finding the Fourth Proportional to 790.80, 1,185.40 and 425.48

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Solution

The fourth proportional to 790.80, 1,185.40 and 425.48 is: 637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.80 : 1,185.40 = 425.48 : x
  2. Step 2: Convert to fraction form
    790.80/1,185.40 = 425.48/x
  3. Step 3: Cross multiply
    790.80x = 1,185.40 × 425.48
  4. Step 4: Simplify right side
    790.80x = 504,363.99
  5. Step 5: Solve for x
    x = 504,363.99/790.80
  6. Step 6: Final answer
    x = 637.79

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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.