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Finding the Fourth Proportional to 837.66, 1,156.41 and 506.16

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Solution

The fourth proportional to 837.66, 1,156.41 and 506.16 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.66 : 1,156.41 = 506.16 : x
  2. Step 2: Convert to fraction form
    837.66/1,156.41 = 506.16/x
  3. Step 3: Cross multiply
    837.66x = 1,156.41 × 506.16
  4. Step 4: Simplify right side
    837.66x = 585,328.49
  5. Step 5: Solve for x
    x = 585,328.49/837.66
  6. Step 6: Final answer
    x = 698.77

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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.