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Finding the Fourth Proportional to 863.34, 1,296.23 and 619.74

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Solution

The fourth proportional to 863.34, 1,296.23 and 619.74 is: 930.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.34 : 1,296.23 = 619.74 : x
  2. Step 2: Convert to fraction form
    863.34/1,296.23 = 619.74/x
  3. Step 3: Cross multiply
    863.34x = 1,296.23 × 619.74
  4. Step 4: Simplify right side
    863.34x = 803,322.48
  5. Step 5: Solve for x
    x = 803,322.48/863.34
  6. Step 6: Final answer
    x = 930.48

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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.