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Finding the Fourth Proportional to 811.75, 1,119.72 and 512.46

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Solution

The fourth proportional to 811.75, 1,119.72 and 512.46 is: 706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.75 : 1,119.72 = 512.46 : x
  2. Step 2: Convert to fraction form
    811.75/1,119.72 = 512.46/x
  3. Step 3: Cross multiply
    811.75x = 1,119.72 × 512.46
  4. Step 4: Simplify right side
    811.75x = 573,811.71
  5. Step 5: Solve for x
    x = 573,811.71/811.75
  6. Step 6: Final answer
    x = 706.88

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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.