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Finding the Fourth Proportional to 822.34, 1,233.54 and 659.26

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Solution

The fourth proportional to 822.34, 1,233.54 and 659.26 is: 988.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.34 : 1,233.54 = 659.26 : x
  2. Step 2: Convert to fraction form
    822.34/1,233.54 = 659.26/x
  3. Step 3: Cross multiply
    822.34x = 1,233.54 × 659.26
  4. Step 4: Simplify right side
    822.34x = 813,223.58
  5. Step 5: Solve for x
    x = 813,223.58/822.34
  6. Step 6: Final answer
    x = 988.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.