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Finding the Fourth Proportional to 1,063.50, 1,594.64 and 413.48

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Solution

The fourth proportional to 1,063.50, 1,594.64 and 413.48 is: 619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.50 : 1,594.64 = 413.48 : x
  2. Step 2: Convert to fraction form
    1,063.50/1,594.64 = 413.48/x
  3. Step 3: Cross multiply
    1,063.50x = 1,594.64 × 413.48
  4. Step 4: Simplify right side
    1,063.50x = 659,351.75
  5. Step 5: Solve for x
    x = 659,351.75/1,063.50
  6. Step 6: Final answer
    x = 619.98

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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.