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Finding the Fourth Proportional to 822.22, 1,134.61 and 458.40

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Solution

The fourth proportional to 822.22, 1,134.61 and 458.40 is: 632.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.22 : 1,134.61 = 458.40 : x
  2. Step 2: Convert to fraction form
    822.22/1,134.61 = 458.40/x
  3. Step 3: Cross multiply
    822.22x = 1,134.61 × 458.40
  4. Step 4: Simplify right side
    822.22x = 520,105.22
  5. Step 5: Solve for x
    x = 520,105.22/822.22
  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.