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Finding the Fourth Proportional to 847.94, 1,169.52 and 553.37

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Solution

The fourth proportional to 847.94, 1,169.52 and 553.37 is: 763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.94 : 1,169.52 = 553.37 : x
  2. Step 2: Convert to fraction form
    847.94/1,169.52 = 553.37/x
  3. Step 3: Cross multiply
    847.94x = 1,169.52 × 553.37
  4. Step 4: Simplify right side
    847.94x = 647,177.28
  5. Step 5: Solve for x
    x = 647,177.28/847.94
  6. Step 6: Final answer
    x = 763.23

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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.