Home / 1,155.09-1,593.41-823.70

Finding the Fourth Proportional to 1,155.09, 1,593.41 and 823.70

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Solution

The fourth proportional to 1,155.09, 1,593.41 and 823.70 is: 1,136.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.09 : 1,593.41 = 823.70 : x
  2. Step 2: Convert to fraction form
    1,155.09/1,593.41 = 823.70/x
  3. Step 3: Cross multiply
    1,155.09x = 1,593.41 × 823.70
  4. Step 4: Simplify right side
    1,155.09x = 1,312,491.68
  5. Step 5: Solve for x
    x = 1,312,491.68/1,155.09
  6. Step 6: Final answer
    x = 1,136.26

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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.