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Finding the Fourth Proportional to 1,567.38, 2,350.83 and 413.22

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Solution

The fourth proportional to 1,567.38, 2,350.83 and 413.22 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.38 : 2,350.83 = 413.22 : x
  2. Step 2: Convert to fraction form
    1,567.38/2,350.83 = 413.22/x
  3. Step 3: Cross multiply
    1,567.38x = 2,350.83 × 413.22
  4. Step 4: Simplify right side
    1,567.38x = 971,409.97
  5. Step 5: Solve for x
    x = 971,409.97/1,567.38
  6. Step 6: Final answer
    x = 619.77

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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.