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Finding the Fourth Proportional to 818.47, 1,129.64 and 523.73

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Solution

The fourth proportional to 818.47, 1,129.64 and 523.73 is: 722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.47 : 1,129.64 = 523.73 : x
  2. Step 2: Convert to fraction form
    818.47/1,129.64 = 523.73/x
  3. Step 3: Cross multiply
    818.47x = 1,129.64 × 523.73
  4. Step 4: Simplify right side
    818.47x = 591,626.36
  5. Step 5: Solve for x
    x = 591,626.36/818.47
  6. Step 6: Final answer
    x = 722.84

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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.