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Finding the Fourth Proportional to 822.29, 1,134.75 and 527.55

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Solution

The fourth proportional to 822.29, 1,134.75 and 527.55 is: 728.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.29 : 1,134.75 = 527.55 : x
  2. Step 2: Convert to fraction form
    822.29/1,134.75 = 527.55/x
  3. Step 3: Cross multiply
    822.29x = 1,134.75 × 527.55
  4. Step 4: Simplify right side
    822.29x = 598,635.09
  5. Step 5: Solve for x
    x = 598,635.09/822.29
  6. Step 6: Final answer
    x = 728.01

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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.