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Finding the Fourth Proportional to 1,567.50, 2,351.39 and 413.25

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Solution

The fourth proportional to 1,567.50, 2,351.39 and 413.25 is: 619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.50 : 2,351.39 = 413.25 : x
  2. Step 2: Convert to fraction form
    1,567.50/2,351.39 = 413.25/x
  3. Step 3: Cross multiply
    1,567.50x = 2,351.39 × 413.25
  4. Step 4: Simplify right side
    1,567.50x = 971,709.85
  5. Step 5: Solve for x
    x = 971,709.85/1,567.50
  6. Step 6: Final answer
    x = 619.91

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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.