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Finding the Fourth Proportional to 1,146.34, 1,581.90 and 622.36

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Solution

The fourth proportional to 1,146.34, 1,581.90 and 622.36 is: 858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.34 : 1,581.90 = 622.36 : x
  2. Step 2: Convert to fraction form
    1,146.34/1,581.90 = 622.36/x
  3. Step 3: Cross multiply
    1,146.34x = 1,581.90 × 622.36
  4. Step 4: Simplify right side
    1,146.34x = 984,503.37
  5. Step 5: Solve for x
    x = 984,503.37/1,146.34
  6. Step 6: Final answer
    x = 858.83

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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.