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Finding the Fourth Proportional to 1,567.34, 2,350.83 and 413.06

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Solution

The fourth proportional to 1,567.34, 2,350.83 and 413.06 is: 619.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.34 : 2,350.83 = 413.06 : x
  2. Step 2: Convert to fraction form
    1,567.34/2,350.83 = 413.06/x
  3. Step 3: Cross multiply
    1,567.34x = 2,350.83 × 413.06
  4. Step 4: Simplify right side
    1,567.34x = 971,033.84
  5. Step 5: Solve for x
    x = 971,033.84/1,567.34
  6. Step 6: Final answer
    x = 619.54

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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.