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Finding the Fourth Proportional to 900.72, 1,350 and 413.64

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Solution

The fourth proportional to 900.72, 1,350 and 413.64 is: 619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.72 : 1,350 = 413.64 : x
  2. Step 2: Convert to fraction form
    900.72/1,350 = 413.64/x
  3. Step 3: Cross multiply
    900.72x = 1,350 × 413.64
  4. Step 4: Simplify right side
    900.72x = 558,414
  5. Step 5: Solve for x
    x = 558,414/900.72
  6. Step 6: Final answer
    x = 619.96

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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.