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Finding the Fourth Proportional to 900.56, 1,351.44 and 413.60

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Solution

The fourth proportional to 900.56, 1,351.44 and 413.60 is: 620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.56 : 1,351.44 = 413.60 : x
  2. Step 2: Convert to fraction form
    900.56/1,351.44 = 413.60/x
  3. Step 3: Cross multiply
    900.56x = 1,351.44 × 413.60
  4. Step 4: Simplify right side
    900.56x = 558,955.58
  5. Step 5: Solve for x
    x = 558,955.58/900.56
  6. Step 6: Final answer
    x = 620.68

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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.