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Finding the Fourth Proportional to 907.20, 1,361.61 and 413.64

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Solution

The fourth proportional to 907.20, 1,361.61 and 413.64 is: 620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.20 : 1,361.61 = 413.64 : x
  2. Step 2: Convert to fraction form
    907.20/1,361.61 = 413.64/x
  3. Step 3: Cross multiply
    907.20x = 1,361.61 × 413.64
  4. Step 4: Simplify right side
    907.20x = 563,216.36
  5. Step 5: Solve for x
    x = 563,216.36/907.20
  6. Step 6: Final answer
    x = 620.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.