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Finding the Fourth Proportional to 822.21, 1,134.62 and 458.39

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Solution

The fourth proportional to 822.21, 1,134.62 and 458.39 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.21 : 1,134.62 = 458.39 : x
  2. Step 2: Convert to fraction form
    822.21/1,134.62 = 458.39/x
  3. Step 3: Cross multiply
    822.21x = 1,134.62 × 458.39
  4. Step 4: Simplify right side
    822.21x = 520,098.46
  5. Step 5: Solve for x
    x = 520,098.46/822.21
  6. Step 6: Final answer
    x = 632.56

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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.