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Finding the Fourth Proportional to 929.40, 1,394.46 and 827.46

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Solution

The fourth proportional to 929.40, 1,394.46 and 827.46 is: 1,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.40 : 1,394.46 = 827.46 : x
  2. Step 2: Convert to fraction form
    929.40/1,394.46 = 827.46/x
  3. Step 3: Cross multiply
    929.40x = 1,394.46 × 827.46
  4. Step 4: Simplify right side
    929.40x = 1,153,859.87
  5. Step 5: Solve for x
    x = 1,153,859.87/929.40
  6. Step 6: Final answer
    x = 1,241.51

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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.