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Finding the Fourth Proportional to 631.27, 869.03 and 520.57

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Solution

The fourth proportional to 631.27, 869.03 and 520.57 is: 716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.27 : 869.03 = 520.57 : x
  2. Step 2: Convert to fraction form
    631.27/869.03 = 520.57/x
  3. Step 3: Cross multiply
    631.27x = 869.03 × 520.57
  4. Step 4: Simplify right side
    631.27x = 452,388.34
  5. Step 5: Solve for x
    x = 452,388.34/631.27
  6. Step 6: Final answer
    x = 716.63

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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.