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Finding the Fourth Proportional to 1,034.80, 1,553.30 and 418.93

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Solution

The fourth proportional to 1,034.80, 1,553.30 and 418.93 is: 628.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.80 : 1,553.30 = 418.93 : x
  2. Step 2: Convert to fraction form
    1,034.80/1,553.30 = 418.93/x
  3. Step 3: Cross multiply
    1,034.80x = 1,553.30 × 418.93
  4. Step 4: Simplify right side
    1,034.80x = 650,723.97
  5. Step 5: Solve for x
    x = 650,723.97/1,034.80
  6. Step 6: Final answer
    x = 628.84

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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.