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Finding the Fourth Proportional to 847.67, 1,169.37 and 567.98

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Solution

The fourth proportional to 847.67, 1,169.37 and 567.98 is: 783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.67 : 1,169.37 = 567.98 : x
  2. Step 2: Convert to fraction form
    847.67/1,169.37 = 567.98/x
  3. Step 3: Cross multiply
    847.67x = 1,169.37 × 567.98
  4. Step 4: Simplify right side
    847.67x = 664,177.31
  5. Step 5: Solve for x
    x = 664,177.31/847.67
  6. Step 6: Final answer
    x = 783.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.