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Finding the Fourth Proportional to 1,235.98, 1,853.86 and 414.22

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Solution

The fourth proportional to 1,235.98, 1,853.86 and 414.22 is: 621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.98 : 1,853.86 = 414.22 : x
  2. Step 2: Convert to fraction form
    1,235.98/1,853.86 = 414.22/x
  3. Step 3: Cross multiply
    1,235.98x = 1,853.86 × 414.22
  4. Step 4: Simplify right side
    1,235.98x = 767,905.89
  5. Step 5: Solve for x
    x = 767,905.89/1,235.98
  6. Step 6: Final answer
    x = 621.29

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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.