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Finding the Fourth Proportional to 911.57, 1,257.84 and 513.17

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Solution

The fourth proportional to 911.57, 1,257.84 and 513.17 is: 708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.57 : 1,257.84 = 513.17 : x
  2. Step 2: Convert to fraction form
    911.57/1,257.84 = 513.17/x
  3. Step 3: Cross multiply
    911.57x = 1,257.84 × 513.17
  4. Step 4: Simplify right side
    911.57x = 645,479.46
  5. Step 5: Solve for x
    x = 645,479.46/911.57
  6. Step 6: Final answer
    x = 708.10

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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.