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Finding the Fourth Proportional to 822.34, 1,134.56 and 586.33

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Solution

The fourth proportional to 822.34, 1,134.56 and 586.33 is: 808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.34 : 1,134.56 = 586.33 : x
  2. Step 2: Convert to fraction form
    822.34/1,134.56 = 586.33/x
  3. Step 3: Cross multiply
    822.34x = 1,134.56 × 586.33
  4. Step 4: Simplify right side
    822.34x = 665,226.56
  5. Step 5: Solve for x
    x = 665,226.56/822.34
  6. Step 6: Final answer
    x = 808.94

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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.