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Finding the Fourth Proportional to 822.29, 1,134.45 and 527.51

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Solution

The fourth proportional to 822.29, 1,134.45 and 527.51 is: 727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.29 : 1,134.45 = 527.51 : x
  2. Step 2: Convert to fraction form
    822.29/1,134.45 = 527.51/x
  3. Step 3: Cross multiply
    822.29x = 1,134.45 × 527.51
  4. Step 4: Simplify right side
    822.29x = 598,433.72
  5. Step 5: Solve for x
    x = 598,433.72/822.29
  6. Step 6: Final answer
    x = 727.76

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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.