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Finding the Fourth Proportional to 822.48, 1,135.08 and 490.86

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Solution

The fourth proportional to 822.48, 1,135.08 and 490.86 is: 677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.48 : 1,135.08 = 490.86 : x
  2. Step 2: Convert to fraction form
    822.48/1,135.08 = 490.86/x
  3. Step 3: Cross multiply
    822.48x = 1,135.08 × 490.86
  4. Step 4: Simplify right side
    822.48x = 557,165.37
  5. Step 5: Solve for x
    x = 557,165.37/822.48
  6. Step 6: Final answer
    x = 677.42

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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.