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Finding the Fourth Proportional to 1,030.82, 1,546.84 and 414.80

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Solution

The fourth proportional to 1,030.82, 1,546.84 and 414.80 is: 622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.82 : 1,546.84 = 414.80 : x
  2. Step 2: Convert to fraction form
    1,030.82/1,546.84 = 414.80/x
  3. Step 3: Cross multiply
    1,030.82x = 1,546.84 × 414.80
  4. Step 4: Simplify right side
    1,030.82x = 641,629.23
  5. Step 5: Solve for x
    x = 641,629.23/1,030.82
  6. Step 6: Final answer
    x = 622.45

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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.