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Finding the Fourth Proportional to 847.77, 1,169.42 and 537.27

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Solution

The fourth proportional to 847.77, 1,169.42 and 537.27 is: 741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.77 : 1,169.42 = 537.27 : x
  2. Step 2: Convert to fraction form
    847.77/1,169.42 = 537.27/x
  3. Step 3: Cross multiply
    847.77x = 1,169.42 × 537.27
  4. Step 4: Simplify right side
    847.77x = 628,291.60
  5. Step 5: Solve for x
    x = 628,291.60/847.77
  6. Step 6: Final answer
    x = 741.11

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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.