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Finding the Fourth Proportional to 837.87, 1,155.96 and 506.17

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Solution

The fourth proportional to 837.87, 1,155.96 and 506.17 is: 698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.87 : 1,155.96 = 506.17 : x
  2. Step 2: Convert to fraction form
    837.87/1,155.96 = 506.17/x
  3. Step 3: Cross multiply
    837.87x = 1,155.96 × 506.17
  4. Step 4: Simplify right side
    837.87x = 585,116.26
  5. Step 5: Solve for x
    x = 585,116.26/837.87
  6. Step 6: Final answer
    x = 698.34

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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.