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Finding the Fourth Proportional to 1,162, 1,604.78 and 1,153.90

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Solution

The fourth proportional to 1,162, 1,604.78 and 1,153.90 is: 1,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162 : 1,604.78 = 1,153.90 : x
  2. Step 2: Convert to fraction form
    1,162/1,604.78 = 1,153.90/x
  3. Step 3: Cross multiply
    1,162x = 1,604.78 × 1,153.90
  4. Step 4: Simplify right side
    1,162x = 1,851,755.64
  5. Step 5: Solve for x
    x = 1,851,755.64/1,162
  6. Step 6: Final answer
    x = 1,593.59

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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.