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Finding the Fourth Proportional to 631.28, 871.80 and 594.92

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Solution

The fourth proportional to 631.28, 871.80 and 594.92 is: 821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.28 : 871.80 = 594.92 : x
  2. Step 2: Convert to fraction form
    631.28/871.80 = 594.92/x
  3. Step 3: Cross multiply
    631.28x = 871.80 × 594.92
  4. Step 4: Simplify right side
    631.28x = 518,651.26
  5. Step 5: Solve for x
    x = 518,651.26/631.28
  6. Step 6: Final answer
    x = 821.59

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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.