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Finding the Fourth Proportional to 910.10, 1,255.91 and 511.75

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Solution

The fourth proportional to 910.10, 1,255.91 and 511.75 is: 706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.10 : 1,255.91 = 511.75 : x
  2. Step 2: Convert to fraction form
    910.10/1,255.91 = 511.75/x
  3. Step 3: Cross multiply
    910.10x = 1,255.91 × 511.75
  4. Step 4: Simplify right side
    910.10x = 642,709.56
  5. Step 5: Solve for x
    x = 642,709.56/910.10
  6. Step 6: Final answer
    x = 706.20

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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.