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Finding the Fourth Proportional to 847.86, 1,169.67 and 553.14

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Solution

The fourth proportional to 847.86, 1,169.67 and 553.14 is: 763.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.86 : 1,169.67 = 553.14 : x
  2. Step 2: Convert to fraction form
    847.86/1,169.67 = 553.14/x
  3. Step 3: Cross multiply
    847.86x = 1,169.67 × 553.14
  4. Step 4: Simplify right side
    847.86x = 646,991.26
  5. Step 5: Solve for x
    x = 646,991.26/847.86
  6. Step 6: Final answer
    x = 763.09

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