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Finding the Fourth Proportional to 631.44, 871.52 and 582.03

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Solution

The fourth proportional to 631.44, 871.52 and 582.03 is: 803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.44 : 871.52 = 582.03 : x
  2. Step 2: Convert to fraction form
    631.44/871.52 = 582.03/x
  3. Step 3: Cross multiply
    631.44x = 871.52 × 582.03
  4. Step 4: Simplify right side
    631.44x = 507,247.88
  5. Step 5: Solve for x
    x = 507,247.88/631.44
  6. Step 6: Final answer
    x = 803.32

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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.