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Finding the Fourth Proportional to 1,235.34, 1,852.86 and 413.40

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Solution

The fourth proportional to 1,235.34, 1,852.86 and 413.40 is: 620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.34 : 1,852.86 = 413.40 : x
  2. Step 2: Convert to fraction form
    1,235.34/1,852.86 = 413.40/x
  3. Step 3: Cross multiply
    1,235.34x = 1,852.86 × 413.40
  4. Step 4: Simplify right side
    1,235.34x = 765,972.32
  5. Step 5: Solve for x
    x = 765,972.32/1,235.34
  6. Step 6: Final answer
    x = 620.05

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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.