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Finding the Fourth Proportional to 1,146.11, 1,581.65 and 622.15

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Solution

The fourth proportional to 1,146.11, 1,581.65 and 622.15 is: 858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.11 : 1,581.65 = 622.15 : x
  2. Step 2: Convert to fraction form
    1,146.11/1,581.65 = 622.15/x
  3. Step 3: Cross multiply
    1,146.11x = 1,581.65 × 622.15
  4. Step 4: Simplify right side
    1,146.11x = 984,021.15
  5. Step 5: Solve for x
    x = 984,021.15/1,146.11
  6. Step 6: Final answer
    x = 858.57

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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.