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Finding the Fourth Proportional to 891.54, 1,336.68 and 458.46

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Solution

The fourth proportional to 891.54, 1,336.68 and 458.46 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.54 : 1,336.68 = 458.46 : x
  2. Step 2: Convert to fraction form
    891.54/1,336.68 = 458.46/x
  3. Step 3: Cross multiply
    891.54x = 1,336.68 × 458.46
  4. Step 4: Simplify right side
    891.54x = 612,814.31
  5. Step 5: Solve for x
    x = 612,814.31/891.54
  6. Step 6: Final answer
    x = 687.37

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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.