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Finding the Fourth Proportional to 703.30, 1,054.14 and 413.86

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Solution

The fourth proportional to 703.30, 1,054.14 and 413.86 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.30 : 1,054.14 = 413.86 : x
  2. Step 2: Convert to fraction form
    703.30/1,054.14 = 413.86/x
  3. Step 3: Cross multiply
    703.30x = 1,054.14 × 413.86
  4. Step 4: Simplify right side
    703.30x = 436,266.38
  5. Step 5: Solve for x
    x = 436,266.38/703.30
  6. Step 6: Final answer
    x = 620.31

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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.