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Finding the Fourth Proportional to 822.38, 1,134.88 and 527.69

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Solution

The fourth proportional to 822.38, 1,134.88 and 527.69 is: 728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.38 : 1,134.88 = 527.69 : x
  2. Step 2: Convert to fraction form
    822.38/1,134.88 = 527.69/x
  3. Step 3: Cross multiply
    822.38x = 1,134.88 × 527.69
  4. Step 4: Simplify right side
    822.38x = 598,866.35
  5. Step 5: Solve for x
    x = 598,866.35/822.38
  6. Step 6: Final answer
    x = 728.22

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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.