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Finding the Fourth Proportional to 974.22, 1,343.88 and 619.53

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Solution

The fourth proportional to 974.22, 1,343.88 and 619.53 is: 854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.22 : 1,343.88 = 619.53 : x
  2. Step 2: Convert to fraction form
    974.22/1,343.88 = 619.53/x
  3. Step 3: Cross multiply
    974.22x = 1,343.88 × 619.53
  4. Step 4: Simplify right side
    974.22x = 832,573.98
  5. Step 5: Solve for x
    x = 832,573.98/974.22
  6. Step 6: Final answer
    x = 854.61

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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.