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Finding the Fourth Proportional to 733.84, 1,012.64 and 423.36

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Solution

The fourth proportional to 733.84, 1,012.64 and 423.36 is: 584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.84 : 1,012.64 = 423.36 : x
  2. Step 2: Convert to fraction form
    733.84/1,012.64 = 423.36/x
  3. Step 3: Cross multiply
    733.84x = 1,012.64 × 423.36
  4. Step 4: Simplify right side
    733.84x = 428,711.27
  5. Step 5: Solve for x
    x = 428,711.27/733.84
  6. Step 6: Final answer
    x = 584.20

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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.