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Finding the Fourth Proportional to 818.17, 1,129.44 and 523.84

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Solution

The fourth proportional to 818.17, 1,129.44 and 523.84 is: 723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.17 : 1,129.44 = 523.84 : x
  2. Step 2: Convert to fraction form
    818.17/1,129.44 = 523.84/x
  3. Step 3: Cross multiply
    818.17x = 1,129.44 × 523.84
  4. Step 4: Simplify right side
    818.17x = 591,645.85
  5. Step 5: Solve for x
    x = 591,645.85/818.17
  6. Step 6: Final answer
    x = 723.13

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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.