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Finding the Fourth Proportional to 1,155.05, 1,593.97 and 824.05

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Solution

The fourth proportional to 1,155.05, 1,593.97 and 824.05 is: 1,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.05 : 1,593.97 = 824.05 : x
  2. Step 2: Convert to fraction form
    1,155.05/1,593.97 = 824.05/x
  3. Step 3: Cross multiply
    1,155.05x = 1,593.97 × 824.05
  4. Step 4: Simplify right side
    1,155.05x = 1,313,510.98
  5. Step 5: Solve for x
    x = 1,313,510.98/1,155.05
  6. Step 6: Final answer
    x = 1,137.19

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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.