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Finding the Fourth Proportional to 1,146.09, 1,581.60 and 622.13

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Solution

The fourth proportional to 1,146.09, 1,581.60 and 622.13 is: 858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.09 : 1,581.60 = 622.13 : x
  2. Step 2: Convert to fraction form
    1,146.09/1,581.60 = 622.13/x
  3. Step 3: Cross multiply
    1,146.09x = 1,581.60 × 622.13
  4. Step 4: Simplify right side
    1,146.09x = 983,952.90
  5. Step 5: Solve for x
    x = 983,952.90/1,146.09
  6. Step 6: Final answer
    x = 858.53

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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.