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Finding the Fourth Proportional to 911.42, 1,257.84 and 513.14

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Solution

The fourth proportional to 911.42, 1,257.84 and 513.14 is: 708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.42 : 1,257.84 = 513.14 : x
  2. Step 2: Convert to fraction form
    911.42/1,257.84 = 513.14/x
  3. Step 3: Cross multiply
    911.42x = 1,257.84 × 513.14
  4. Step 4: Simplify right side
    911.42x = 645,448.02
  5. Step 5: Solve for x
    x = 645,448.02/911.42
  6. Step 6: Final answer
    x = 708.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.