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Finding the Fourth Proportional to 822.24, 1,135.26 and 527.64

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Solution

The fourth proportional to 822.24, 1,135.26 and 527.64 is: 728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.24 : 1,135.26 = 527.64 : x
  2. Step 2: Convert to fraction form
    822.24/1,135.26 = 527.64/x
  3. Step 3: Cross multiply
    822.24x = 1,135.26 × 527.64
  4. Step 4: Simplify right side
    822.24x = 599,008.59
  5. Step 5: Solve for x
    x = 599,008.59/822.24
  6. Step 6: Final answer
    x = 728.51

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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.