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Finding the Fourth Proportional to 837.80, 1,156.32 and 506.34

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Solution

The fourth proportional to 837.80, 1,156.32 and 506.34 is: 698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.80 : 1,156.32 = 506.34 : x
  2. Step 2: Convert to fraction form
    837.80/1,156.32 = 506.34/x
  3. Step 3: Cross multiply
    837.80x = 1,156.32 × 506.34
  4. Step 4: Simplify right side
    837.80x = 585,491.07
  5. Step 5: Solve for x
    x = 585,491.07/837.80
  6. Step 6: Final answer
    x = 698.85

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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.