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Finding the Fourth Proportional to 693.82, 957.04 and 413.86

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Solution

The fourth proportional to 693.82, 957.04 and 413.86 is: 570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.82 : 957.04 = 413.86 : x
  2. Step 2: Convert to fraction form
    693.82/957.04 = 413.86/x
  3. Step 3: Cross multiply
    693.82x = 957.04 × 413.86
  4. Step 4: Simplify right side
    693.82x = 396,080.57
  5. Step 5: Solve for x
    x = 396,080.57/693.82
  6. Step 6: Final answer
    x = 570.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.