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Finding the Fourth Proportional to 1,146.88, 1,582.69 and 622.92

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Solution

The fourth proportional to 1,146.88, 1,582.69 and 622.92 is: 859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.88 : 1,582.69 = 622.92 : x
  2. Step 2: Convert to fraction form
    1,146.88/1,582.69 = 622.92/x
  3. Step 3: Cross multiply
    1,146.88x = 1,582.69 × 622.92
  4. Step 4: Simplify right side
    1,146.88x = 985,889.25
  5. Step 5: Solve for x
    x = 985,889.25/1,146.88
  6. Step 6: Final answer
    x = 859.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.