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Finding the Fourth Proportional to 1,063.07, 1,594.71 and 413.86

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Solution

The fourth proportional to 1,063.07, 1,594.71 and 413.86 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.07 : 1,594.71 = 413.86 : x
  2. Step 2: Convert to fraction form
    1,063.07/1,594.71 = 413.86/x
  3. Step 3: Cross multiply
    1,063.07x = 1,594.71 × 413.86
  4. Step 4: Simplify right side
    1,063.07x = 659,976.64
  5. Step 5: Solve for x
    x = 659,976.64/1,063.07
  6. Step 6: Final answer
    x = 620.82

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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.