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Finding the Fourth Proportional to 1,235.82, 1,853.84 and 414.10

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Solution

The fourth proportional to 1,235.82, 1,853.84 and 414.10 is: 621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.82 : 1,853.84 = 414.10 : x
  2. Step 2: Convert to fraction form
    1,235.82/1,853.84 = 414.10/x
  3. Step 3: Cross multiply
    1,235.82x = 1,853.84 × 414.10
  4. Step 4: Simplify right side
    1,235.82x = 767,665.74
  5. Step 5: Solve for x
    x = 767,665.74/1,235.82
  6. Step 6: Final answer
    x = 621.18

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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.