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Finding the Fourth Proportional to 1,146.57, 1,582.26 and 622.61

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Solution

The fourth proportional to 1,146.57, 1,582.26 and 622.61 is: 859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.57 : 1,582.26 = 622.61 : x
  2. Step 2: Convert to fraction form
    1,146.57/1,582.26 = 622.61/x
  3. Step 3: Cross multiply
    1,146.57x = 1,582.26 × 622.61
  4. Step 4: Simplify right side
    1,146.57x = 985,122.99
  5. Step 5: Solve for x
    x = 985,122.99/1,146.57
  6. Step 6: Final answer
    x = 859.19

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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.