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Finding the Fourth Proportional to 837.69, 1,156.22 and 506.34

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Solution

The fourth proportional to 837.69, 1,156.22 and 506.34 is: 698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.69 : 1,156.22 = 506.34 : x
  2. Step 2: Convert to fraction form
    837.69/1,156.22 = 506.34/x
  3. Step 3: Cross multiply
    837.69x = 1,156.22 × 506.34
  4. Step 4: Simplify right side
    837.69x = 585,439.80
  5. Step 5: Solve for x
    x = 585,439.80/837.69
  6. Step 6: Final answer
    x = 698.88

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Double scale
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1.5x scale

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.