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Finding the Fourth Proportional to 896.57, 1,345.24 and 486

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Solution

The fourth proportional to 896.57, 1,345.24 and 486 is: 729.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.57 : 1,345.24 = 486 : x
  2. Step 2: Convert to fraction form
    896.57/1,345.24 = 486/x
  3. Step 3: Cross multiply
    896.57x = 1,345.24 × 486
  4. Step 4: Simplify right side
    896.57x = 653,786.64
  5. Step 5: Solve for x
    x = 653,786.64/896.57
  6. Step 6: Final answer
    x = 729.21

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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.