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Finding the Fourth Proportional to 811.34, 1,119.84 and 517.04

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Solution

The fourth proportional to 811.34, 1,119.84 and 517.04 is: 713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.34 : 1,119.84 = 517.04 : x
  2. Step 2: Convert to fraction form
    811.34/1,119.84 = 517.04/x
  3. Step 3: Cross multiply
    811.34x = 1,119.84 × 517.04
  4. Step 4: Simplify right side
    811.34x = 579,002.07
  5. Step 5: Solve for x
    x = 579,002.07/811.34
  6. Step 6: Final answer
    x = 713.64

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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.