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Finding the Fourth Proportional to 1,154.24, 1,593.12 and 824.48

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Solution

The fourth proportional to 1,154.24, 1,593.12 and 824.48 is: 1,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.24 : 1,593.12 = 824.48 : x
  2. Step 2: Convert to fraction form
    1,154.24/1,593.12 = 824.48/x
  3. Step 3: Cross multiply
    1,154.24x = 1,593.12 × 824.48
  4. Step 4: Simplify right side
    1,154.24x = 1,313,495.58
  5. Step 5: Solve for x
    x = 1,313,495.58/1,154.24
  6. Step 6: Final answer
    x = 1,137.97

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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.