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Finding the Fourth Proportional to 900.69, 1,350.57 and 413.31

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Solution

The fourth proportional to 900.69, 1,350.57 and 413.31 is: 619.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.69 : 1,350.57 = 413.31 : x
  2. Step 2: Convert to fraction form
    900.69/1,350.57 = 413.31/x
  3. Step 3: Cross multiply
    900.69x = 1,350.57 × 413.31
  4. Step 4: Simplify right side
    900.69x = 558,204.09
  5. Step 5: Solve for x
    x = 558,204.09/900.69
  6. Step 6: Final answer
    x = 619.75

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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.