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Finding the Fourth Proportional to 1,235.93, 1,853.72 and 466.25

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Solution

The fourth proportional to 1,235.93, 1,853.72 and 466.25 is: 699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.93 : 1,853.72 = 466.25 : x
  2. Step 2: Convert to fraction form
    1,235.93/1,853.72 = 466.25/x
  3. Step 3: Cross multiply
    1,235.93x = 1,853.72 × 466.25
  4. Step 4: Simplify right side
    1,235.93x = 864,294.62
  5. Step 5: Solve for x
    x = 864,294.62/1,235.93
  6. Step 6: Final answer
    x = 699.31

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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.