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Finding the Fourth Proportional to 1,146.12, 1,581.62 and 622.14

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Solution

The fourth proportional to 1,146.12, 1,581.62 and 622.14 is: 858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.12 : 1,581.62 = 622.14 : x
  2. Step 2: Convert to fraction form
    1,146.12/1,581.62 = 622.14/x
  3. Step 3: Cross multiply
    1,146.12x = 1,581.62 × 622.14
  4. Step 4: Simplify right side
    1,146.12x = 983,989.07
  5. Step 5: Solve for x
    x = 983,989.07/1,146.12
  6. Step 6: Final answer
    x = 858.54

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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.