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Finding the Fourth Proportional to 863.34, 1,293.93 and 680.01

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Solution

The fourth proportional to 863.34, 1,293.93 and 680.01 is: 1,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.34 : 1,293.93 = 680.01 : x
  2. Step 2: Convert to fraction form
    863.34/1,293.93 = 680.01/x
  3. Step 3: Cross multiply
    863.34x = 1,293.93 × 680.01
  4. Step 4: Simplify right side
    863.34x = 879,885.34
  5. Step 5: Solve for x
    x = 879,885.34/863.34
  6. Step 6: Final answer
    x = 1,019.16

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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.