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Finding the Fourth Proportional to 811.71, 1,119.83 and 517.14

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Solution

The fourth proportional to 811.71, 1,119.83 and 517.14 is: 713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.71 : 1,119.83 = 517.14 : x
  2. Step 2: Convert to fraction form
    811.71/1,119.83 = 517.14/x
  3. Step 3: Cross multiply
    811.71x = 1,119.83 × 517.14
  4. Step 4: Simplify right side
    811.71x = 579,106.30
  5. Step 5: Solve for x
    x = 579,106.30/811.71
  6. Step 6: Final answer
    x = 713.44

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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.