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Finding the Fourth Proportional to 1,034.24, 1,549.72 and 622.84

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Solution

The fourth proportional to 1,034.24, 1,549.72 and 622.84 is: 933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.24 : 1,549.72 = 622.84 : x
  2. Step 2: Convert to fraction form
    1,034.24/1,549.72 = 622.84/x
  3. Step 3: Cross multiply
    1,034.24x = 1,549.72 × 622.84
  4. Step 4: Simplify right side
    1,034.24x = 965,227.60
  5. Step 5: Solve for x
    x = 965,227.60/1,034.24
  6. Step 6: Final answer
    x = 933.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.