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Finding the Fourth Proportional to 863.00, 1,294.58 and 472.84

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Solution

The fourth proportional to 863.00, 1,294.58 and 472.84 is: 709.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.00 : 1,294.58 = 472.84 : x
  2. Step 2: Convert to fraction form
    863.00/1,294.58 = 472.84/x
  3. Step 3: Cross multiply
    863.00x = 1,294.58 × 472.84
  4. Step 4: Simplify right side
    863.00x = 612,127.15
  5. Step 5: Solve for x
    x = 612,127.15/863.00
  6. Step 6: Final answer
    x = 709.30

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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.