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Finding the Fourth Proportional to 837.27, 1,155.16 and 522.29

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Solution

The fourth proportional to 837.27, 1,155.16 and 522.29 is: 720.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.27 : 1,155.16 = 522.29 : x
  2. Step 2: Convert to fraction form
    837.27/1,155.16 = 522.29/x
  3. Step 3: Cross multiply
    837.27x = 1,155.16 × 522.29
  4. Step 4: Simplify right side
    837.27x = 603,328.52
  5. Step 5: Solve for x
    x = 603,328.52/837.27
  6. Step 6: Final answer
    x = 720.59

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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.