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Finding the Fourth Proportional to 837.14, 1,155.42 and 522.59

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Solution

The fourth proportional to 837.14, 1,155.42 and 522.59 is: 721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.14 : 1,155.42 = 522.59 : x
  2. Step 2: Convert to fraction form
    837.14/1,155.42 = 522.59/x
  3. Step 3: Cross multiply
    837.14x = 1,155.42 × 522.59
  4. Step 4: Simplify right side
    837.14x = 603,813.83
  5. Step 5: Solve for x
    x = 603,813.83/837.14
  6. Step 6: Final answer
    x = 721.28

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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.