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Finding the Fourth Proportional to 1,235.79, 1,853.78 and 414.09

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Solution

The fourth proportional to 1,235.79, 1,853.78 and 414.09 is: 621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.79 : 1,853.78 = 414.09 : x
  2. Step 2: Convert to fraction form
    1,235.79/1,853.78 = 414.09/x
  3. Step 3: Cross multiply
    1,235.79x = 1,853.78 × 414.09
  4. Step 4: Simplify right side
    1,235.79x = 767,629.69
  5. Step 5: Solve for x
    x = 767,629.69/1,235.79
  6. Step 6: Final answer
    x = 621.17

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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.