Home / 1,151.19-1,589.97-837.86

Finding the Fourth Proportional to 1,151.19, 1,589.97 and 837.86

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Solution

The fourth proportional to 1,151.19, 1,589.97 and 837.86 is: 1,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.19 : 1,589.97 = 837.86 : x
  2. Step 2: Convert to fraction form
    1,151.19/1,589.97 = 837.86/x
  3. Step 3: Cross multiply
    1,151.19x = 1,589.97 × 837.86
  4. Step 4: Simplify right side
    1,151.19x = 1,332,173.42
  5. Step 5: Solve for x
    x = 1,332,173.42/1,151.19
  6. Step 6: Final answer
    x = 1,157.21

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Half scale
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Double scale
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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.