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Finding the Fourth Proportional to 1,347.06, 2,020.56 and 422.52

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Solution

The fourth proportional to 1,347.06, 2,020.56 and 422.52 is: 633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.06 : 2,020.56 = 422.52 : x
  2. Step 2: Convert to fraction form
    1,347.06/2,020.56 = 422.52/x
  3. Step 3: Cross multiply
    1,347.06x = 2,020.56 × 422.52
  4. Step 4: Simplify right side
    1,347.06x = 853,727.01
  5. Step 5: Solve for x
    x = 853,727.01/1,347.06
  6. Step 6: Final answer
    x = 633.77

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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.